Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bp |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
843042816 = 212 · 35 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 0 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6189,-189477] |
[a1,a2,a3,a4,a6] |
j |
52906619392/1701 |
j-invariant |
L |
5.3825667605011 |
L(r)(E,1)/r! |
Ω |
0.53825667501791 |
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 |
81312bh1 81312y1 |
Quadratic twists by: -4 -11 |