Atkin-Lehner |
2+ 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
15312j |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-17639424 = -1 · 211 · 33 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 11- -1 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104,-492] |
[a1,a2,a3,a4,a6] |
j |
-61328594/8613 |
j-invariant |
L |
4.446755241243 |
L(r)(E,1)/r! |
Ω |
0.7411258735405 |
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 |
7656a1 61248bk1 45936k1 |
Quadratic twists by: -4 8 -3 |