Atkin-Lehner |
2- 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920ch |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
31268976721920 = 222 · 33 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25203,1516338] |
[a1,a2,a3,a4,a6] |
Generators |
[73:256:1] |
Generators of the group modulo torsion |
j |
16008724040427/282741760 |
j-invariant |
L |
6.7539573043023 |
L(r)(E,1)/r! |
Ω |
0.65989497013078 |
Real period |
R |
1.2793621714469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013318 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490a1 115920cr1 |
Quadratic twists by: -4 -3 |