Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644d |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-252217127391488 = -1 · 28 · 74 · 177 |
Discriminant |
Eigenvalues |
2- 3 -4 7+ -1 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99127,-12036850] |
[a1,a2,a3,a4,a6] |
j |
-7260624/17 |
j-invariant |
L |
2.4212138614624 |
L(r)(E,1)/r! |
Ω |
0.13451188141532 |
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 |
56644o1 3332c1 |
Quadratic twists by: -7 17 |