Atkin-Lehner |
2+ 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
29610k |
Isogeny class |
Conductor |
29610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
26198016 |
Modular degree for the optimal curve |
Δ |
-6.752193162636E+27 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,184292766,-3834465845612] |
[a1,a2,a3,a4,a6] |
j |
949557016813062170728246751/9262267712806533149491200 |
j-invariant |
L |
0.16637465198397 |
L(r)(E,1)/r! |
Ω |
0.020796831498337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870m1 |
Quadratic twists by: -3 |