Atkin-Lehner |
2- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
33524b |
Isogeny class |
Conductor |
33524 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
312120 |
Modular degree for the optimal curve |
Δ |
14966738716933376 = 28 · 1710 · 29 |
Discriminant |
Eigenvalues |
2- 0 -1 1 6 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-668168,210138836] |
[a1,a2,a3,a4,a6] |
Generators |
[1089370681:399525491:2352637] |
Generators of the group modulo torsion |
j |
63922176/29 |
j-invariant |
L |
5.7409979817928 |
L(r)(E,1)/r! |
Ω |
0.38817522557158 |
Real period |
R |
14.789707337296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33524g1 |
Quadratic twists by: 17 |