Atkin-Lehner |
2+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
33712g |
Isogeny class |
Conductor |
33712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
8356747766416 = 24 · 710 · 432 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -3 2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10404,380603] |
[a1,a2,a3,a4,a6] |
Generators |
[9005:12599:125] |
Generators of the group modulo torsion |
j |
27559168/1849 |
j-invariant |
L |
8.0494349777281 |
L(r)(E,1)/r! |
Ω |
0.72206563965802 |
Real period |
R |
5.573894211017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16856c1 33712b1 |
Quadratic twists by: -4 -7 |