Atkin-Lehner |
2- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
70720bk |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
409600 |
Modular degree for the optimal curve |
Δ |
181043200000 = 218 · 55 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-920812,340098384] |
[a1,a2,a3,a4,a6] |
Generators |
[298:9600:1] |
Generators of the group modulo torsion |
j |
329379602649536529/690625 |
j-invariant |
L |
6.297002911075 |
L(r)(E,1)/r! |
Ω |
0.6595959828618 |
Real period |
R |
1.9093515044633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720q1 17680f1 |
Quadratic twists by: -4 8 |