Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
36400bg |
Isogeny class |
Conductor |
36400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-364000000 = -1 · 28 · 56 · 7 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-1137] |
[a1,a2,a3,a4,a6] |
j |
-65536/91 |
j-invariant |
L |
1.3371476971146 |
L(r)(E,1)/r! |
Ω |
0.66857384856655 |
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 |
9100g1 1456m1 |
Quadratic twists by: -4 5 |