Atkin-Lehner |
2- 3- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
24534l |
Isogeny class |
Conductor |
24534 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
1987254 = 2 · 36 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 0 7 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:15:8] |
Generators of the group modulo torsion |
j |
4826809/2726 |
j-invariant |
L |
8.7705452899413 |
L(r)(E,1)/r! |
Ω |
2.1683913454791 |
Real period |
R |
2.0223621783556 |
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 |
2726d1 |
Quadratic twists by: -3 |