Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25792ba |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-104798879744 = -1 · 223 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 1 3 3 -4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6209,-191041] |
[a1,a2,a3,a4,a6] |
Generators |
[815:23168:1] |
Generators of the group modulo torsion |
j |
-100999381393/399776 |
j-invariant |
L |
8.1988722888497 |
L(r)(E,1)/r! |
Ω |
0.26884714649986 |
Real period |
R |
3.8120510090918 |
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 |
25792c1 6448l1 |
Quadratic twists by: -4 8 |