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	7410m	Isogeny class
Conductor	7410	Conductor
∏ cp	280	Product of Tamagawa factors cp
deg	985600	Modular degree for the optimal curve
Δ	-1.0500004672635E+22	Discriminant
Eigenvalues	2+ 3- 5-  2  0 13+  4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-28004148,-57255273422]	[a1,a2,a3,a4,a6]
j	-2428794565340780295912448441/10500004672634880000000	j-invariant
L	2.2964112513893	L(r)(E,1)/r!
Ω	0.032805875019847	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	59280bg1 22230bl1 37050bt1 96330cy1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7410m1

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

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Quadratic twists for elliptic curve 7410m1

-4	-3	5	13
59280bg1	22230bl1	37050bt1	96330cy1

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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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