Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150cj |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
33868800 |
Modular degree for the optimal curve |
Δ |
-7.6399809214351E+25 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-143335438,-783081452469] |
[a1,a2,a3,a4,a6] |
j |
-177164286626930705929/41560810459234304 |
j-invariant |
L |
2.5858085055085 |
L(r)(E,1)/r! |
Ω |
0.021548404485231 |
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 |
4606b1 16450m1 |
Quadratic twists by: 5 -7 |