Atkin-Lehner |
5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20825o |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
31250515625 = 56 · 76 · 17 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 0 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-842,-3809] |
[a1,a2,a3,a4,a6] |
Generators |
[4098:47351:27] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
5.2924937063346 |
L(r)(E,1)/r! |
Ω |
0.92822923921123 |
Real period |
R |
5.7017097531122 |
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 |
833a1 425a1 |
Quadratic twists by: 5 -7 |