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	3850h	Isogeny class
Conductor	3850	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	2688	Modular degree for the optimal curve
Δ	19081216000 = 214 · 53 · 7 · 113	Discriminant
Eigenvalues	2+  0 5- 7+ 11+  2 -4  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-757,-4299]	[a1,a2,a3,a4,a6]
j	384082046109/152649728	j-invariant
L	0.94181917422043	L(r)(E,1)/r!
Ω	0.94181917422043	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	30800cx1 123200cx1 34650ed1 3850w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3850h1

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
+	0	-	+	+	2	-4	4	4	8	-2	-10	-6	-8	-8	6	8	6	-2	12	4	-10	-6	14	6

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Quadratic twists for elliptic curve 3850h1

-4	8	-3	5	-7	-11
30800cx1	123200cx1	34650ed1	3850w1	26950bf1	42350da1

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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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