Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
34800bq |
Isogeny class |
Conductor |
34800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
7705894500000000 = 28 · 312 · 59 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49708,-615412] |
[a1,a2,a3,a4,a6] |
j |
27166976912/15411789 |
j-invariant |
L |
4.1417285825609 |
L(r)(E,1)/r! |
Ω |
0.34514404854782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17400g2 104400by2 34800t2 |
Quadratic twists by: -4 -3 5 |