Atkin-Lehner |
2- 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37620p |
Isogeny class |
Conductor |
37620 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-3770934750000 = -1 · 24 · 38 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,125341] |
[a1,a2,a3,a4,a6] |
j |
-446806441984/323296875 |
j-invariant |
L |
4.3421551746438 |
L(r)(E,1)/r! |
Ω |
0.72369252911072 |
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 |
12540j1 |
Quadratic twists by: -3 |