Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736ba |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
54589136 = 24 · 76 · 29 |
Discriminant |
Eigenvalues |
2- 2 2 7- 6 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-457,3900] |
[a1,a2,a3,a4,a6] |
Generators |
[-1500:2205:64] |
Generators of the group modulo torsion |
j |
5619712/29 |
j-invariant |
L |
8.8443059111974 |
L(r)(E,1)/r! |
Ω |
2.0003680519059 |
Real period |
R |
4.421339314418 |
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 |
5684g1 90944ek1 464e2 |
Quadratic twists by: -4 8 -7 |