Atkin-Lehner |
2- 3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232s |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
9870336 |
Modular degree for the optimal curve |
Δ |
4.4836552143988E+23 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82687515,-287580053844] |
[a1,a2,a3,a4,a6] |
j |
3907721061971521123416918016/28022845089992662124397 |
j-invariant |
L |
1.2020942731031 |
L(r)(E,1)/r! |
Ω |
0.050087261402715 |
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 |
100464k1 |
Quadratic twists by: -4 |