Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608x |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
4663296 |
Modular degree for the optimal curve |
Δ |
3.1619248982036E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 1 4 7 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-842088,-123578800] |
[a1,a2,a3,a4,a6] |
j |
22116106446593536/10589222508237 |
j-invariant |
L |
5.9492033260893 |
L(r)(E,1)/r! |
Ω |
0.16525566507282 |
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 |
112608bk1 37536m1 |
Quadratic twists by: -4 -3 |