Atkin-Lehner |
3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
85305x |
Isogeny class |
Conductor |
85305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-31223762625 = -1 · 3 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 3 11- 1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,784,-879] |
[a1,a2,a3,a4,a6] |
j |
30080231/17625 |
j-invariant |
L |
1.379777528389 |
L(r)(E,1)/r! |
Ω |
0.68988879909046 |
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 |
705d1 |
Quadratic twists by: -11 |