Atkin-Lehner |
2- 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
84912x |
Isogeny class |
Conductor |
84912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
953856 |
Modular degree for the optimal curve |
Δ |
-177970800362520576 = -1 · 239 · 3 · 29 · 612 |
Discriminant |
Eigenvalues |
2- 3- 1 1 -4 6 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-174800,-34745964] |
[a1,a2,a3,a4,a6] |
j |
-144208391771653201/43449902432256 |
j-invariant |
L |
3.6788129669095 |
L(r)(E,1)/r! |
Ω |
0.11496290334165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10614k1 |
Quadratic twists by: -4 |