Cremona's table of elliptic curves

3850 = 2 · 5² · 7 · 11

Field	Data	Notes
Atkin-Lehner	2+ 5+ 7+ 11+	Signs for the Atkin-Lehner involutions
Class	3850d	Isogeny class
Conductor	3850	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-66404800000000 = -1 · 212 · 58 · 73 · 112	Discriminant
Eigenvalues	2+  2 5+ 7+ 11+  4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-1400,392000]	[a1,a2,a3,a4,a6]
Generators	[19:601:1]	Generators of the group modulo torsion
j	-19443408769/4249907200	j-invariant
L	3.5912111971237	L(r)(E,1)/r!
Ω	0.50485811238535	Real period
R	3.556653947934	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30800ca1 123200bf1 34650dc1 770f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850d1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	2	+	+	+	4	0	-4	0	-6	-10	-2	-12	4	-6	6	-6	-4	4	12	4	8	-12	18	10

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Quadratic twists for elliptic curve 3850d1

-4	8	-3	5	-7	-11
30800ca1	123200bf1	34650dc1	770f1	26950p1	42350cq1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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