Atkin-Lehner |
3- 5+ 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70965c |
Isogeny class |
Conductor |
70965 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
104272 |
Modular degree for the optimal curve |
Δ |
89815078125 = 36 · 57 · 19 · 83 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13158,580763] |
[a1,a2,a3,a4,a6] |
j |
345593710411776/123203125 |
j-invariant |
L |
1.0533208944606 |
L(r)(E,1)/r! |
Ω |
1.0533208960908 |
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 |
7885a1 |
Quadratic twists by: -3 |