Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34496ch |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
9276388352 = 210 · 77 · 11 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5096,-139944] |
[a1,a2,a3,a4,a6] |
Generators |
[20670:235152:125] |
Generators of the group modulo torsion |
j |
121485312/77 |
j-invariant |
L |
4.4394650212334 |
L(r)(E,1)/r! |
Ω |
0.56507842027788 |
Real period |
R |
7.8563697743924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496be1 8624f1 4928s1 |
Quadratic twists by: -4 8 -7 |