Atkin-Lehner |
2- 3+ 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200bg |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-257126400000000 = -1 · 218 · 34 · 58 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,15592,-188688] |
[a1,a2,a3,a4,a6] |
j |
6549699311/4017600 |
j-invariant |
L |
2.5600452173064 |
L(r)(E,1)/r! |
Ω |
0.32000565216268 |
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 |
4650r1 111600dm1 7440s1 |
Quadratic twists by: -4 -3 5 |