Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19320bb |
Isogeny class |
Conductor |
19320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
26661600000000 = 211 · 32 · 58 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1422160,-653260192] |
[a1,a2,a3,a4,a6] |
Generators |
[25738:1340625:8] |
Generators of the group modulo torsion |
j |
155324313723954725282/13018359375 |
j-invariant |
L |
6.512537054394 |
L(r)(E,1)/r! |
Ω |
0.13824913305154 |
Real period |
R |
5.8884067757282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38640k6 57960r6 96600i6 |
Quadratic twists by: -4 -3 5 |