Atkin-Lehner |
2- 3- 7+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598s |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
23708160 |
Modular degree for the optimal curve |
Δ |
2.540495261988E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11+ 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347245106,2369678134065] |
[a1,a2,a3,a4,a6] |
Generators |
[-20127:-1087665:1] |
Generators of the group modulo torsion |
j |
6351913619433319093891405273/348490433743210894327808 |
j-invariant |
L |
8.4028225313465 |
L(r)(E,1)/r! |
Ω |
0.05455858505176 |
Real period |
R |
3.6670159780853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622b1 |
Quadratic twists by: -3 |