Atkin-Lehner |
2- 3- 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
51504h |
Isogeny class |
Conductor |
51504 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-12899067753259008 = -1 · 213 · 33 · 292 · 375 |
Discriminant |
Eigenvalues |
2- 3- -2 3 -1 5 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28824,5770260] |
[a1,a2,a3,a4,a6] |
j |
-646608751905817/3149186463198 |
j-invariant |
L |
4.1558808256741 |
L(r)(E,1)/r! |
Ω |
0.34632340207009 |
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 |
6438a1 |
Quadratic twists by: -4 |