Atkin-Lehner |
5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
56525b |
Isogeny class |
Conductor |
56525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
5318624602907976325 = 52 · 77 · 172 · 197 |
Discriminant |
Eigenvalues |
-1 1 5+ 7+ 3 1 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1765623,-896319508] |
[a1,a2,a3,a4,a6] |
Generators |
[-11386789671:39664429666:15438249] |
Generators of the group modulo torsion |
j |
24348804993879284215705/212744984116319053 |
j-invariant |
L |
4.1482707360819 |
L(r)(E,1)/r! |
Ω |
0.13104003632282 |
Real period |
R |
15.828256968209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56525z1 |
Quadratic twists by: 5 |