Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696bi |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-2447563456 = -1 · 26 · 135 · 103 |
Discriminant |
Eigenvalues |
2- 0 -3 2 -4 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-134,-2454] |
[a1,a2,a3,a4,a6] |
j |
-4157747712/38243179 |
j-invariant |
L |
0.61342423901174 |
L(r)(E,1)/r! |
Ω |
0.61342427564584 |
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 |
85696bu1 42848d1 |
Quadratic twists by: -4 8 |