Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bf |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
2134887890625 = 38 · 58 · 72 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-878630,-316778628] |
[a1,a2,a3,a4,a6] |
Generators |
[-407582812:204340716:753571] |
Generators of the group modulo torsion |
j |
6585576176607121/187425 |
j-invariant |
L |
3.3155605004597 |
L(r)(E,1)/r! |
Ω |
0.15593660946065 |
Real period |
R |
10.631116425859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8925b1 5355f1 |
Quadratic twists by: -3 5 |