Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626bn |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
341940319344 = 24 · 39 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 -6 13- 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11759,-487033] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:58:1] |
Generators of the group modulo torsion |
j |
2953092457/5616 |
j-invariant |
L |
6.5149854702557 |
L(r)(E,1)/r! |
Ω |
0.45852123877568 |
Real period |
R |
0.88804303357676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22542r1 67626be1 |
Quadratic twists by: -3 17 |