Atkin-Lehner |
3- 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25935m |
Isogeny class |
Conductor |
25935 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
80061345 = 33 · 5 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-711,-7344] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:9:1] [48:240:1] |
Generators of the group modulo torsion |
j |
39753071528689/80061345 |
j-invariant |
L |
5.6223665152948 |
L(r)(E,1)/r! |
Ω |
0.92465882611089 |
Real period |
R |
4.0536511821283 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77805s1 129675l1 |
Quadratic twists by: -3 5 |