Atkin-Lehner |
2- 3- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
31668d |
Isogeny class |
Conductor |
31668 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
273600 |
Modular degree for the optimal curve |
Δ |
-27602795899171584 = -1 · 28 · 35 · 72 · 135 · 293 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-349181,-79936689] |
[a1,a2,a3,a4,a6] |
j |
-18392332252543442944/107823421481139 |
j-invariant |
L |
0.98164533538737 |
L(r)(E,1)/r! |
Ω |
0.098164533538424 |
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 |
126672w1 95004i1 |
Quadratic twists by: -4 -3 |