Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
118976br |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-3167617024 = -1 · 217 · 11 · 133 |
Discriminant |
Eigenvalues |
2+ 0 -1 1 11- 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52,-2704] |
[a1,a2,a3,a4,a6] |
Generators |
[13:13:1] |
Generators of the group modulo torsion |
j |
54/11 |
j-invariant |
L |
5.0020869090598 |
L(r)(E,1)/r! |
Ω |
0.66839420567763 |
Real period |
R |
1.8709344057657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976cq1 14872b1 118976u1 |
Quadratic twists by: -4 8 13 |