Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680de |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
329073054105600 = 214 · 39 · 52 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-154467,23350626] |
[a1,a2,a3,a4,a6] |
j |
5055680349747/4081700 |
j-invariant |
L |
4.3017550187206 |
L(r)(E,1)/r! |
Ω |
0.53771937814554 |
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 |
10710c2 85680cu2 |
Quadratic twists by: -4 -3 |