Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
3388g |
Isogeny class |
Conductor |
3388 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-2688917803264 = -1 · 28 · 72 · 118 |
Discriminant |
Eigenvalues |
2- -2 3 7- 11- -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10204,401124] |
[a1,a2,a3,a4,a6] |
j |
-2141392/49 |
j-invariant |
L |
1.615949347011 |
L(r)(E,1)/r! |
Ω |
0.80797467350548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
13552q1 54208bl1 30492bk1 84700i1 |
Quadratic twists by: -4 8 -3 5 |