Cremona's table of elliptic curves

9702 = 2 · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3+ 7- 11-	Signs for the Atkin-Lehner involutions
Class	9702l	Isogeny class
Conductor	9702	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	362880	Modular degree for the optimal curve
Δ	-1.4386936200715E+20	Discriminant
Eigenvalues	2+ 3+  3 7- 11- -2 -3 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-1700358,1030640092]	[a1,a2,a3,a4,a6]
Generators	[347:21788:1]	Generators of the group modulo torsion
j	-71285434106859/18863581528	j-invariant
L	3.9733421049537	L(r)(E,1)/r!
Ω	0.17449417225927	Real period
R	1.2650349590185	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	77616dl1 9702bh2 9702d1 106722fd1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702l1

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
+	+	3	-	-	-2	-3	-2	-3	0	-2	8	-9	-4	3	-6	6	-5	11	0	-2	-13	9	12	-5

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Quadratic twists for elliptic curve 9702l1

-4	-3	-7	-11
77616dl1	9702bh2	9702d1	106722fd1

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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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