Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
9152n |
Isogeny class |
Conductor |
9152 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-4390729547776 = -1 · 221 · 115 · 13 |
Discriminant |
Eigenvalues |
2+ -2 1 1 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4225,-147489] |
[a1,a2,a3,a4,a6] |
Generators |
[395:7744:1] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
3.4630553926274 |
L(r)(E,1)/r! |
Ω |
0.28893628489093 |
Real period |
R |
0.59927665262511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9152w1 286e1 82368bf1 100672v1 |
Quadratic twists by: -4 8 -3 -11 |