Atkin-Lehner |
2- 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090cb |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
5623093740463718400 = 220 · 32 · 52 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-579795,125688657] |
[a1,a2,a3,a4,a6] |
j |
145606291302529/37984665600 |
j-invariant |
L |
4.4986279701429 |
L(r)(E,1)/r! |
Ω |
0.22493141552924 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830s1 |
Quadratic twists by: -23 |