Atkin-Lehner |
3+ 5+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59475g |
Isogeny class |
Conductor |
59475 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19260791961328125 = 314 · 58 · 132 · 61 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -4 13- -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-188525,30712500] |
[a1,a2,a3,a4,a6] |
Generators |
[2270:2115:8] |
Generators of the group modulo torsion |
j |
47425741951616209/1232690685525 |
j-invariant |
L |
4.7762989731141 |
L(r)(E,1)/r! |
Ω |
0.38488086849841 |
Real period |
R |
3.1024528394678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895i2 |
Quadratic twists by: 5 |