Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680o |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1935360 |
Modular degree for the optimal curve |
Δ |
-2.9549938800278E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 -5 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-638508,-327059332] |
[a1,a2,a3,a4,a6] |
j |
-154260682146128896/158339435443875 |
j-invariant |
L |
0.16222328237369 |
L(r)(E,1)/r! |
Ω |
0.081111587224138 |
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 |
42840bv1 28560s1 |
Quadratic twists by: -4 -3 |