Atkin-Lehner |
5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
12775h |
Isogeny class |
Conductor |
12775 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-59907763671875 = -1 · 511 · 75 · 73 |
Discriminant |
Eigenvalues |
-1 -1 5+ 7- 6 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6313,-422094] |
[a1,a2,a3,a4,a6] |
Generators |
[620:15002:1] |
Generators of the group modulo torsion |
j |
-1780800847561/3834096875 |
j-invariant |
L |
2.7980279071055 |
L(r)(E,1)/r! |
Ω |
0.25092438477245 |
Real period |
R |
0.55754404053692 |
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 |
114975ba1 2555f1 89425n1 |
Quadratic twists by: -3 5 -7 |