Atkin-Lehner |
2+ 3+ 11- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25806a |
Isogeny class |
Conductor |
25806 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1679040 |
Modular degree for the optimal curve |
Δ |
-4.3365758450213E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 11- -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22241138,-40382823756] |
[a1,a2,a3,a4,a6] |
j |
-1216731514924780155754481449/43365758450213067264 |
j-invariant |
L |
0.69519937377412 |
L(r)(E,1)/r! |
Ω |
0.034759968688701 |
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 |
77418u1 |
Quadratic twists by: -3 |