Atkin-Lehner |
3- 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85425i |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-298768972171875 = -1 · 3 · 56 · 175 · 672 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 -3 -1 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-13733,-1041556] |
[a1,a2,a3,a4,a6] |
j |
-18332916908032/19121214219 |
j-invariant |
L |
0.42341196929227 |
L(r)(E,1)/r! |
Ω |
0.21170597476587 |
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 |
3417c1 |
Quadratic twists by: 5 |