Atkin-Lehner |
2+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
25792q |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-104798879744 = -1 · 223 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ -1 -1 -3 0 13- -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,15649] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:124:1] [-7:128:1] |
Generators of the group modulo torsion |
j |
-1771561/399776 |
j-invariant |
L |
5.947305220761 |
L(r)(E,1)/r! |
Ω |
0.86404599737209 |
Real period |
R |
0.86038608460219 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25792bg1 806a1 |
Quadratic twists by: -4 8 |