Cremona's table of elliptic curves

7098 = 2 · 3 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 13-	Signs for the Atkin-Lehner involutions
Class	7098o	Isogeny class
Conductor	7098	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	31200	Modular degree for the optimal curve
Δ	72153013733892 = 22 · 35 · 7 · 139	Discriminant
Eigenvalues	2+ 3- -2 7-  0 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-76392,-8122814]	[a1,a2,a3,a4,a6]
j	4649101309/6804	j-invariant
L	1.4359735516311	L(r)(E,1)/r!
Ω	0.28719471032623	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	56784bq1 21294cv1 49686v1 7098y1	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 7098o1

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

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Quadratic twists for elliptic curve 7098o1

-4	-3	-7	13
56784bq1	21294cv1	49686v1	7098y1

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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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