Cremona's table of elliptic curves

7410 = 2 · 3 · 5 · 13 · 19

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 13- 19+	Signs for the Atkin-Lehner involutions
Class	7410x	Isogeny class
Conductor	7410	Conductor
∏ cp	120	Product of Tamagawa factors cp
Δ	3299765625000 = 23 · 32 · 510 · 13 · 192	Discriminant
Eigenvalues	2- 3- 5- -2 -4 13- -6 19+	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-3755,14025]	[a1,a2,a3,a4,a6]
Generators	[-20:295:1]	Generators of the group modulo torsion
j	5855456577737521/3299765625000	j-invariant
L	7.1173457264078	L(r)(E,1)/r!
Ω	0.68559167682618	Real period
R	0.34604395818399	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	59280bn2 22230n2 37050d2 96330bd2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7410x2

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	-	-6	+	0	0	-2	-6	8	2	2	-6	-8	-6	12	6	-8	-12	-12	-16	-10

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Quadratic twists for elliptic curve 7410x2

-4	-3	5	13
59280bn2	22230n2	37050d2	96330bd2

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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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