Atkin-Lehner |
2- 5- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
66950bk |
Isogeny class |
Conductor |
66950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
47680 |
Modular degree for the optimal curve |
Δ |
5230468750 = 2 · 59 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -1 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1638,25142] |
[a1,a2,a3,a4,a6] |
Generators |
[134:331:8] |
Generators of the group modulo torsion |
j |
248858189/2678 |
j-invariant |
L |
12.181450520629 |
L(r)(E,1)/r! |
Ω |
1.3662357339614 |
Real period |
R |
4.4580339312427 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66950r1 |
Quadratic twists by: 5 |