Atkin-Lehner |
3- 5+ 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475m |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
2798040289306640625 = 36 · 514 · 132 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-381876,-42141227] |
[a1,a2,a3,a4,a6] |
Generators |
[72212:1950693:64] |
Generators of the group modulo torsion |
j |
394156911116919601/179074578515625 |
j-invariant |
L |
7.849258501406 |
L(r)(E,1)/r! |
Ω |
0.20046847030607 |
Real period |
R |
6.525763119949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11895d2 |
Quadratic twists by: 5 |