Atkin-Lehner |
2- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
81070r |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
480000 |
Modular degree for the optimal curve |
Δ |
-13996465699040 = -1 · 25 · 5 · 117 · 672 |
Discriminant |
Eigenvalues |
2- 3 5+ -3 11- -4 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,4212,-147089] |
[a1,a2,a3,a4,a6] |
j |
4665834711/7900640 |
j-invariant |
L |
7.4123810246099 |
L(r)(E,1)/r! |
Ω |
0.37061904583097 |
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 |
7370a1 |
Quadratic twists by: -11 |