Atkin-Lehner |
2+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
2054a |
Isogeny class |
Conductor |
2054 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-27422954 = -1 · 2 · 133 · 792 |
Discriminant |
Eigenvalues |
2+ -1 -1 3 4 13- -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32153,-2232569] |
[a1,a2,a3,a4,a6] |
j |
-3676286237182512409/27422954 |
j-invariant |
L |
1.0695809897025 |
L(r)(E,1)/r! |
Ω |
0.17826349828374 |
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 |
16432k1 65728a1 18486t1 51350p1 |
Quadratic twists by: -4 8 -3 5 |