Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425m |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
2510986328125 = 513 · 112 · 17 |
Discriminant |
Eigenvalues |
0 1 5+ 4 11- 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-24383,1455394] |
[a1,a2,a3,a4,a6] |
Generators |
[74:248:1] |
Generators of the group modulo torsion |
j |
848003301376/1328125 |
j-invariant |
L |
6.6238749405986 |
L(r)(E,1)/r! |
Ω |
0.81279149004099 |
Real period |
R |
4.0747688809318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285i1 51425e1 |
Quadratic twists by: 5 -11 |