Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14872h |
Isogeny class |
Conductor |
14872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-17081218574058496 = -1 · 210 · 112 · 1310 |
Discriminant |
Eigenvalues |
2- -2 1 2 11+ 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9520,6295056] |
[a1,a2,a3,a4,a6] |
j |
-676/121 |
j-invariant |
L |
1.2739299084332 |
L(r)(E,1)/r! |
Ω |
0.31848247710831 |
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 |
29744i1 118976bj1 14872e1 |
Quadratic twists by: -4 8 13 |