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	7098l	Isogeny class
Conductor	7098	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	65520	Modular degree for the optimal curve
Δ	-740339256303738 = -1 · 2 · 33 · 75 · 138	Discriminant
Eigenvalues	2+ 3- -2 7+ -4 13+  7  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-208212,-36609116]	[a1,a2,a3,a4,a6]
j	-1223745654937/907578	j-invariant
L	1.0056956300415	L(r)(E,1)/r!
Ω	0.1117439588935	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	56784ca1 21294cf1 49686l1 7098be1	Quadratic twists by: -4 -3 -7 13

Hecke Eigenvalues for elliptic curve 7098l1

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	+	7	2	-1	-2	-9	-2	2	-5	6	3	15	-7	-5	1	12	-4	-1	3	-16

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Quadratic twists for elliptic curve 7098l1

-4	-3	-7	13
56784ca1	21294cf1	49686l1	7098be1

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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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