Atkin-Lehner |
3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
20025i |
Isogeny class |
Conductor |
20025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
1013765625 = 36 · 56 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 4 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-342,-1809] |
[a1,a2,a3,a4,a6] |
j |
389017/89 |
j-invariant |
L |
2.2565487537211 |
L(r)(E,1)/r! |
Ω |
1.1282743768606 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2225b1 801b1 |
Quadratic twists by: -3 5 |