Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800c |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
8448000000 = 214 · 3 · 56 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1233,-15663] |
[a1,a2,a3,a4,a6] |
Generators |
[41:32:1] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
4.3951401162719 |
L(r)(E,1)/r! |
Ω |
0.80764204087095 |
Real period |
R |
2.7209703642815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52800gr1 6600bb1 2112m1 |
Quadratic twists by: -4 8 5 |