Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440ct |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-190797211238400 = -1 · 228 · 37 · 52 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30252,2131504] |
[a1,a2,a3,a4,a6] |
j |
-16022066761/998400 |
j-invariant |
L |
2.2338249648911 |
L(r)(E,1)/r! |
Ω |
0.55845624121524 |
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 |
37440ft1 1170j1 12480bd1 |
Quadratic twists by: -4 8 -3 |