Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800cf |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1597894283520000000 = 214 · 316 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1292008,562406512] |
[a1,a2,a3,a4,a6] |
Generators |
[452:8400:1] |
Generators of the group modulo torsion |
j |
3726830856733921/24967098180 |
j-invariant |
L |
5.7066488583952 |
L(r)(E,1)/r! |
Ω |
0.26849480446609 |
Real period |
R |
2.6567780658471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4350n3 104400ec4 6960bo3 |
Quadratic twists by: -4 -3 5 |