Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680bn |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13213912320000 = 211 · 36 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239643,-45153558] |
[a1,a2,a3,a4,a6] |
j |
1019437193909682/8850625 |
j-invariant |
L |
1.7262296975806 |
L(r)(E,1)/r! |
Ω |
0.21577871078139 |
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 |
42840bs2 9520d2 |
Quadratic twists by: -4 -3 |