Atkin-Lehner |
5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20825w |
Isogeny class |
Conductor |
20825 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
191409408203125 = 59 · 78 · 17 |
Discriminant |
Eigenvalues |
0 -1 5- 7+ 4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-28583,-1727307] |
[a1,a2,a3,a4,a6] |
j |
229376/17 |
j-invariant |
L |
0.7377855655737 |
L(r)(E,1)/r! |
Ω |
0.36889278278685 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20825z1 20825bc1 |
Quadratic twists by: 5 -7 |