Atkin-Lehner |
2+ 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
35376g |
Isogeny class |
Conductor |
35376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
18354766848 = 210 · 3 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1152,13188] |
[a1,a2,a3,a4,a6] |
j |
165256339972/17924577 |
j-invariant |
L |
2.3750360387259 |
L(r)(E,1)/r! |
Ω |
1.1875180193627 |
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 |
17688b1 106128o1 |
Quadratic twists by: -4 -3 |