Atkin-Lehner |
2- 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
51264x |
Isogeny class |
Conductor |
51264 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1063010304 = -1 · 214 · 36 · 89 |
Discriminant |
Eigenvalues |
2- 3- -1 0 0 4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,132,-1456] |
[a1,a2,a3,a4,a6] |
Generators |
[14:56:1] |
Generators of the group modulo torsion |
j |
21296/89 |
j-invariant |
L |
5.5060692659389 |
L(r)(E,1)/r! |
Ω |
0.78634694276041 |
Real period |
R |
1.7505216102818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51264g1 12816f1 5696m1 |
Quadratic twists by: -4 8 -3 |