Atkin-Lehner |
2- 3- 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240bn |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
824320 |
Modular degree for the optimal curve |
Δ |
-2312406079200000 = -1 · 28 · 313 · 55 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 -5 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56748,-5694428] |
[a1,a2,a3,a4,a6] |
j |
-108294873588736/12390721875 |
j-invariant |
L |
2.4587567349268 |
L(r)(E,1)/r! |
Ω |
0.1536722944985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31080o1 |
Quadratic twists by: -3 |