Atkin-Lehner |
2+ 7+ 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13202c |
Isogeny class |
Conductor |
13202 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10656 |
Modular degree for the optimal curve |
Δ |
59514616 = 23 · 73 · 232 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -2 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7268,-241544] |
[a1,a2,a3,a4,a6] |
j |
42468002165719369/59514616 |
j-invariant |
L |
1.0341131886331 |
L(r)(E,1)/r! |
Ω |
0.51705659431657 |
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 |
105616t1 118818bb1 92414k1 |
Quadratic twists by: -4 -3 -7 |