Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200db |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
-1976960520000000000 = -1 · 212 · 313 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,134792,-64866412] |
[a1,a2,a3,a4,a6] |
j |
6771000575/49424013 |
j-invariant |
L |
3.3939802592284 |
L(r)(E,1)/r! |
Ω |
0.13053770227772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2325a1 111600ey1 37200ck1 |
Quadratic twists by: -4 -3 5 |