Cremona's table of elliptic curves

Curve 116160di1

116160 = 26 · 3 · 5 · 112



Data for elliptic curve 116160di1

Field Data Notes
Atkin-Lehner 2+ 3- 5+ 11- Signs for the Atkin-Lehner involutions
Class 116160di Isogeny class
Conductor 116160 Conductor
∏ cp 36 Product of Tamagawa factors cp
deg 4257792 Modular degree for the optimal curve
Δ 2.3706377367552E+20 Discriminant
Eigenvalues 2+ 3- 5+  3 11- -3 -1  1 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-3000961,1857786335] [a1,a2,a3,a4,a6]
Generators [-565:58080:1] Generators of the group modulo torsion
j 53189206081/4218750 j-invariant
L 9.1090151427174 L(r)(E,1)/r!
Ω 0.17209920710768 Real period
R 1.4702461523921 Regulator
r 1 Rank of the group of rational points
S 1.0000000052525 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 116160fr1 3630r1 116160dl1 Quadratic twists by: -4 8 -11


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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