Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440bf |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-3927968853258977280 = -1 · 214 · 317 · 5 · 135 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -5 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,349872,-52417888] |
[a1,a2,a3,a4,a6] |
j |
396555344454656/328867205355 |
j-invariant |
L |
0.2741435177398 |
L(r)(E,1)/r! |
Ω |
0.13707175888536 |
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 |
37440dx1 4680u1 12480k1 |
Quadratic twists by: -4 8 -3 |