Atkin-Lehner |
2- 5+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
112880k |
Isogeny class |
Conductor |
112880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
318517379072000 = 218 · 53 · 17 · 833 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -3 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2736256,1743052800] |
[a1,a2,a3,a4,a6] |
j |
553138774980176020609/77763032000 |
j-invariant |
L |
2.5428713116132 |
L(r)(E,1)/r! |
Ω |
0.42381202041194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14110i2 |
Quadratic twists by: -4 |