Atkin-Lehner |
2- 3+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
37536m |
Isogeny class |
Conductor |
37536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
43373455393738752 = 212 · 311 · 173 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -4 1 -4 7 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93565,4608181] |
[a1,a2,a3,a4,a6] |
j |
22116106446593536/10589222508237 |
j-invariant |
L |
0.64272592614199 |
L(r)(E,1)/r! |
Ω |
0.32136296308369 |
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 |
37536i1 75072bg1 112608x1 |
Quadratic twists by: -4 8 -3 |