Cremona's table of elliptic curves

35392 = 2⁶ · 7 · 79

Field	Data	Notes
Atkin-Lehner	2+ 7- 79-	Signs for the Atkin-Lehner involutions
Class	35392l	Isogeny class
Conductor	35392	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	15360	Modular degree for the optimal curve
Δ	148444807168 = 228 · 7 · 79	Discriminant
Eigenvalues	2+  0  0 7-  0  0 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1420,-8976]	[a1,a2,a3,a4,a6]
Generators	[-1020:6273:64]	Generators of the group modulo torsion
j	1207949625/566272	j-invariant
L	5.2440684570599	L(r)(E,1)/r!
Ω	0.81392490165164	Real period
R	6.4429389571673	Regulator
r	1	Rank of the group of rational points
S	0.99999999999999	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	35392m1 1106d1	Quadratic twists by: -4 8

Hecke Eigenvalues for elliptic curve 35392l1

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

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Quadratic twists for elliptic curve 35392l1

-4	8
35392m1	1106d1

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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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