Atkin-Lehner |
2- 3+ 5- 83- |
Signs for the Atkin-Lehner involutions |
Class |
79680bn |
Isogeny class |
Conductor |
79680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-466534278758400 = -1 · 217 · 3 · 52 · 834 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3615,1034625] |
[a1,a2,a3,a4,a6] |
j |
39849102862/3559374075 |
j-invariant |
L |
3.2231078733855 |
L(r)(E,1)/r! |
Ω |
0.40288847442499 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79680z3 19920e4 |
Quadratic twists by: -4 8 |