Atkin-Lehner |
2+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35392g |
Isogeny class |
Conductor |
35392 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-4156454600704 = -1 · 230 · 72 · 79 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3796,38960] |
[a1,a2,a3,a4,a6] |
j |
23076099423/15855616 |
j-invariant |
L |
3.9371670491393 |
L(r)(E,1)/r! |
Ω |
0.492145881143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35392n1 1106e1 |
Quadratic twists by: -4 8 |