Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
3608a |
Isogeny class |
Conductor |
3608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
624 |
Modular degree for the optimal curve |
Δ |
-873136 = -1 · 24 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 1 11+ 2 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-422,3337] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1:1] |
Generators of the group modulo torsion |
j |
-519446808576/54571 |
j-invariant |
L |
3.6950944584215 |
L(r)(E,1)/r! |
Ω |
2.6938514738324 |
Real period |
R |
0.68583856502761 |
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 |
7216b1 28864f1 32472t1 90200j1 |
Quadratic twists by: -4 8 -3 5 |