Atkin-Lehner |
2- 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
37620k |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-7155249135447600 = -1 · 24 · 312 · 52 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,21588,3882341] |
[a1,a2,a3,a4,a6] |
j |
95392323977216/613447285275 |
j-invariant |
L |
0.60796538037714 |
L(r)(E,1)/r! |
Ω |
0.30398269019198 |
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 |
12540e1 |
Quadratic twists by: -3 |