Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330s |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.7749250358137E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8977005,8131701325] |
[a1,a2,a3,a4,a6] |
Generators |
[-2203:132299:1] |
Generators of the group modulo torsion |
j |
932829715460155969/206949435875000 |
j-invariant |
L |
3.6020237793423 |
L(r)(E,1)/r! |
Ω |
0.11589165521757 |
Real period |
R |
3.8851198696211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000193 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370v4 8190x4 |
Quadratic twists by: -3 -7 |