Cremona's table of elliptic curves

3800 = 2³ · 5² · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 19-	Signs for the Atkin-Lehner involutions
Class	3800h	Isogeny class
Conductor	3800	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-1187500000000 = -1 · 28 · 512 · 19	Discriminant
Eigenvalues	2-  2 5+  0 -4 -4  2 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1492,47012]	[a1,a2,a3,a4,a6]
Generators	[22:300:1]	Generators of the group modulo torsion
j	91765424/296875	j-invariant
L	4.6568725005791	L(r)(E,1)/r!
Ω	0.61201175558405	Real period
R	1.9022806580467	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	7600b2 30400f2 34200bb2 760d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 3800h2

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	+	0	-4	-4	2	-	4	-6	-8	4	-2	-4	8	0	-8	2	14	-8	-6	-4	-16	-18	4

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Quadratic twists for elliptic curve 3800h2

-4	8	-3	5	-19
7600b2	30400f2	34200bb2	760d2	72200i2

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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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