Atkin-Lehner |
5+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
12775c |
Isogeny class |
Conductor |
12775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
-89425 = -1 · 52 · 72 · 73 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ -5 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5,12] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] [3:5:1] |
Generators of the group modulo torsion |
j |
663255/3577 |
j-invariant |
L |
4.0508394746436 |
L(r)(E,1)/r! |
Ω |
2.448488660382 |
Real period |
R |
0.82721221874302 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114975t1 12775m1 89425k1 |
Quadratic twists by: -3 5 -7 |