Atkin-Lehner |
3+ 31+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
7719a |
Isogeny class |
Conductor |
7719 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
23157 = 32 · 31 · 83 |
Discriminant |
Eigenvalues |
0 3+ -2 1 -6 1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9,11] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [1:1:1] |
Generators of the group modulo torsion |
j |
89915392/23157 |
j-invariant |
L |
3.8472122196059 |
L(r)(E,1)/r! |
Ω |
3.5573618888802 |
Real period |
R |
0.54073950581648 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504bk1 23157c1 |
Quadratic twists by: -4 -3 |