Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200dd |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
10811250000 = 24 · 32 · 57 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -4 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,-3762] |
[a1,a2,a3,a4,a6] |
j |
112377856/43245 |
j-invariant |
L |
3.9327512459827 |
L(r)(E,1)/r! |
Ω |
0.98318781150113 |
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 |
9300a1 111600fa1 7440q1 |
Quadratic twists by: -4 -3 5 |