Atkin-Lehner |
2+ 5- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
72080c |
Isogeny class |
Conductor |
72080 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
1153280 = 28 · 5 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ -2 5- -4 -6 -2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1500,21868] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:112:1] [18:32:1] |
Generators of the group modulo torsion |
j |
1458972216016/4505 |
j-invariant |
L |
6.4193103443283 |
L(r)(E,1)/r! |
Ω |
2.3924121538422 |
Real period |
R |
5.3663916846264 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36040a1 |
Quadratic twists by: -4 |