Atkin-Lehner |
2- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
52900p |
Isogeny class |
Conductor |
52900 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
10580000000 = 28 · 57 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 1 2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,22063] |
[a1,a2,a3,a4,a6] |
Generators |
[18:25:1] |
Generators of the group modulo torsion |
j |
188416/5 |
j-invariant |
L |
3.6371830694834 |
L(r)(E,1)/r! |
Ω |
1.2790897849751 |
Real period |
R |
1.4217856761104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10580d1 52900o1 |
Quadratic twists by: 5 -23 |