Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850fm |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
114912 |
Modular degree for the optimal curve |
Δ |
-304381492800 = -1 · 26 · 3 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 0 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3823,94457] |
[a1,a2,a3,a4,a6] |
j |
-42876505/2112 |
j-invariant |
L |
5.7546820076177 |
L(r)(E,1)/r! |
Ω |
0.95911366590513 |
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 |
80850z1 80850ee1 |
Quadratic twists by: 5 -7 |