Atkin-Lehner |
2- 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
25280n |
Isogeny class |
Conductor |
25280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
19971200000 = 210 · 55 · 792 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4061,98035] |
[a1,a2,a3,a4,a6] |
j |
7234852182016/19503125 |
j-invariant |
L |
1.2205993476714 |
L(r)(E,1)/r! |
Ω |
1.2205993476713 |
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 |
25280h1 6320b1 126400bp1 |
Quadratic twists by: -4 8 5 |