Atkin-Lehner |
2+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
24986c |
Isogeny class |
Conductor |
24986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-22707370980829184 = -1 · 211 · 13 · 318 |
Discriminant |
Eigenvalues |
2+ 1 -1 1 -2 13- -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,49471,5888500] |
[a1,a2,a3,a4,a6] |
Generators |
[12110:470597:8] |
Generators of the group modulo torsion |
j |
15087533111/25585664 |
j-invariant |
L |
3.7986534881196 |
L(r)(E,1)/r! |
Ω |
0.26051493310405 |
Real period |
R |
3.6453318077187 |
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 |
806b1 |
Quadratic twists by: -31 |