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	7410a	Isogeny class
Conductor	7410	Conductor
∏ cp	40	Product of Tamagawa factors cp
deg	483840	Modular degree for the optimal curve
Δ	-1.0236043652254E+22	Discriminant
Eigenvalues	2+ 3+ 5+  0  0 13+  4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,4531247,3150120853]	[a1,a2,a3,a4,a6]
j	10289085390749886047673191/10236043652254138368000	j-invariant
L	0.84724452609035	L(r)(E,1)/r!
Ω	0.084724452609035	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	59280bo1 22230bq1 37050ci1 96330ci1	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 7410a1

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

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Quadratic twists for elliptic curve 7410a1

-4	-3	5	13
59280bo1	22230bq1	37050ci1	96330ci1

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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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