Atkin-Lehner |
2+ 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67626c |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
411264 |
Modular degree for the optimal curve |
Δ |
1655179822570716 = 22 · 33 · 133 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -1 0 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45138,3140712] |
[a1,a2,a3,a4,a6] |
Generators |
[22:1458:1] |
Generators of the group modulo torsion |
j |
54000891/8788 |
j-invariant |
L |
5.8996651190768 |
L(r)(E,1)/r! |
Ω |
0.4525884947205 |
Real period |
R |
3.258846163809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997642 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
67626s2 67626b1 |
Quadratic twists by: -3 17 |