Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39330bo |
Isogeny class |
Conductor |
39330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
162382010126400 = 26 · 312 · 52 · 192 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74588,7835231] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:4021:1] |
Generators of the group modulo torsion |
j |
62950272087713401/222746241600 |
j-invariant |
L |
8.4063213287745 |
L(r)(E,1)/r! |
Ω |
0.57711291714122 |
Real period |
R |
1.2138469900619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13110s2 |
Quadratic twists by: -3 |