Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
5684h |
Isogeny class |
Conductor |
5684 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-873426176 = -1 · 28 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 3 -3 7- -1 3 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-236719,44330006] |
[a1,a2,a3,a4,a6] |
Generators |
[7581:98:27] |
Generators of the group modulo torsion |
j |
-48707390098512/29 |
j-invariant |
L |
5.4997560583295 |
L(r)(E,1)/r! |
Ω |
0.96969008921008 |
Real period |
R |
0.94527727974231 |
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 |
22736bg1 90944cl1 51156bd1 116a1 |
Quadratic twists by: -4 8 -3 -7 |