Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11368m |
Isogeny class |
Conductor |
11368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
2674867664 = 24 · 78 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 -6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359,706] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:49:1] |
Generators of the group modulo torsion |
j |
2725888/1421 |
j-invariant |
L |
2.0295034022107 |
L(r)(E,1)/r! |
Ω |
1.2651485829905 |
Real period |
R |
0.80208104782972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22736k1 90944bz1 102312q1 1624c1 |
Quadratic twists by: -4 8 -3 -7 |