Cremona's table of elliptic curves

Curve 10416bi1

10416 = 24 · 3 · 7 · 31



Data for elliptic curve 10416bi1

Field Data Notes
Atkin-Lehner 2- 3- 7+ 31- Signs for the Atkin-Lehner involutions
Class 10416bi Isogeny class
Conductor 10416 Conductor
∏ cp 8 Product of Tamagawa factors cp
deg 3072 Modular degree for the optimal curve
Δ 7999488 = 212 · 32 · 7 · 31 Discriminant
Eigenvalues 2- 3-  4 7+ -2 -2  2 -8 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-56,-108] [a1,a2,a3,a4,a6]
j 4826809/1953 j-invariant
L 3.6102188188201 L(r)(E,1)/r!
Ω 1.8051094094101 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 651b1 41664cl1 31248bt1 72912bl1 Quadratic twists by: -4 8 -3 -7


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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