Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290dk |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7660800 |
Modular degree for the optimal curve |
Δ |
-7.5688847857295E+20 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- 11- -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2959683,2365680727] |
[a1,a2,a3,a4,a6] |
j |
-5729578281/1512500 |
j-invariant |
L |
5.4704902066041 |
L(r)(E,1)/r! |
Ω |
0.15195806121403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290du1 5390e1 |
Quadratic twists by: -7 -11 |