Atkin-Lehner |
2+ 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
115920bd |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
655360 |
Modular degree for the optimal curve |
Δ |
3239384400 = 24 · 37 · 52 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-833178,292721623] |
[a1,a2,a3,a4,a6] |
j |
5483900709072173056/277725 |
j-invariant |
L |
3.0797445795603 |
L(r)(E,1)/r! |
Ω |
0.76993625704715 |
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 |
57960l1 38640ba1 |
Quadratic twists by: -4 -3 |