Atkin-Lehner |
2- 3- 5- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
36630br |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
338383837440 = 28 · 310 · 5 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2282,-30679] |
[a1,a2,a3,a4,a6] |
j |
1802041022809/464175360 |
j-invariant |
L |
5.6313984971479 |
L(r)(E,1)/r! |
Ω |
0.70392481214592 |
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 |
12210n1 |
Quadratic twists by: -3 |