Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296cc |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
1712893392 = 24 · 310 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 0 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9012,-329285] |
[a1,a2,a3,a4,a6] |
j |
6939684880384/146853 |
j-invariant |
L |
0.97999713488841 |
L(r)(E,1)/r! |
Ω |
0.48999856745225 |
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 |
9324j1 12432bt1 |
Quadratic twists by: -4 -3 |