Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13376t |
Isogeny class |
Conductor |
13376 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-30751424 = -1 · 26 · 113 · 192 |
Discriminant |
Eigenvalues |
2- 1 3 4 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109,-551] |
[a1,a2,a3,a4,a6] |
j |
-2258403328/480491 |
j-invariant |
L |
4.379383645086 |
L(r)(E,1)/r! |
Ω |
0.729897274181 |
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 |
13376c1 3344e1 120384dc1 |
Quadratic twists by: -4 8 -3 |