Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25688g |
Isogeny class |
Conductor |
25688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
469248 |
Modular degree for the optimal curve |
Δ |
-1.8397037072644E+19 |
Discriminant |
Eigenvalues |
2- 0 1 4 0 13+ -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3056027,2066616838] |
[a1,a2,a3,a4,a6] |
Generators |
[699:16492:1] |
Generators of the group modulo torsion |
j |
-22359484836/130321 |
j-invariant |
L |
6.2660994264731 |
L(r)(E,1)/r! |
Ω |
0.21903889794836 |
Real period |
R |
3.5759056297562 |
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 |
51376a1 25688a1 |
Quadratic twists by: -4 13 |