Atkin-Lehner |
2+ 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
27808a |
Isogeny class |
Conductor |
27808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
39153664 = 212 · 112 · 79 |
Discriminant |
Eigenvalues |
2+ -3 -3 -5 11+ -7 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,2656] |
[a1,a2,a3,a4,a6] |
Generators |
[2:44:1] [-20:44:1] [-11:73:1] |
Generators of the group modulo torsion |
j |
1302170688/9559 |
j-invariant |
L |
5.3693799940226 |
L(r)(E,1)/r! |
Ω |
2.0564968801115 |
Real period |
R |
0.32636689398548 |
Regulator |
r |
3 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27808j1 55616l1 |
Quadratic twists by: -4 8 |