Atkin-Lehner |
2- 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23616y |
Isogeny class |
Conductor |
23616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-74724068697145344 = -1 · 215 · 39 · 415 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 0 1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81972,-9558864] |
[a1,a2,a3,a4,a6] |
j |
94445023464/115856201 |
j-invariant |
L |
1.4780215954567 |
L(r)(E,1)/r! |
Ω |
0.18475269943208 |
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 |
23616z1 11808b1 23616be1 |
Quadratic twists by: -4 8 -3 |