Atkin-Lehner |
2- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
36256l |
Isogeny class |
Conductor |
36256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
31488 |
Modular degree for the optimal curve |
Δ |
-57837891584 = -1 · 212 · 113 · 1032 |
Discriminant |
Eigenvalues |
2- 1 3 4 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-349,-11957] |
[a1,a2,a3,a4,a6] |
j |
-1151022592/14120579 |
j-invariant |
L |
5.6986913943996 |
L(r)(E,1)/r! |
Ω |
0.47489094953509 |
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 |
36256c1 72512b1 |
Quadratic twists by: -4 8 |