Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
56304bq |
Isogeny class |
Conductor |
56304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
940032 |
Modular degree for the optimal curve |
Δ |
-3012072717831634944 = -1 · 229 · 315 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3- 3 2 4 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,358269,-12633982] |
[a1,a2,a3,a4,a6] |
j |
1703193262339967/1008737058816 |
j-invariant |
L |
4.7452268803214 |
L(r)(E,1)/r! |
Ω |
0.14828834007709 |
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 |
7038h1 18768m1 |
Quadratic twists by: -4 -3 |