Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
24986f |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
998400 |
Modular degree for the optimal curve |
Δ |
-1.0133519102867E+19 |
Discriminant |
Eigenvalues |
2- 1 1 3 -2 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13554925,-19210255247] |
[a1,a2,a3,a4,a6] |
Generators |
[2961675126:-5971039132969:729] |
Generators of the group modulo torsion |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
10.723985411671 |
L(r)(E,1)/r! |
Ω |
0.039340902663542 |
Real period |
R |
13.629561964283 |
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 |
806f1 |
Quadratic twists by: -31 |