Atkin-Lehner |
2- 3- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bb |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89600 |
Modular degree for the optimal curve |
Δ |
-58474912500 = -1 · 22 · 38 · 55 · 23 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1148,-18669] |
[a1,a2,a3,a4,a6] |
j |
-229333309561/80212500 |
j-invariant |
L |
1.6120997548837 |
L(r)(E,1)/r! |
Ω |
0.40302494115702 |
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 |
21390c1 |
Quadratic twists by: -3 |