Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400gs |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-30425472000000000 = -1 · 216 · 32 · 59 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,76992,1703988] |
[a1,a2,a3,a4,a6] |
j |
788632918919/475398000 |
j-invariant |
L |
3.6461896176801 |
L(r)(E,1)/r! |
Ω |
0.22788686207414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bs1 18480cl1 |
Quadratic twists by: -4 5 |