Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
80850ho |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
deg |
270950400 |
Modular degree for the optimal curve |
Δ |
6.9570086977897E+28 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46936622888,-3913938730588608] |
[a1,a2,a3,a4,a6] |
j |
145093123151788073549867/882693944377344 |
j-invariant |
L |
3.4463631406584 |
L(r)(E,1)/r! |
Ω |
0.010257033017812 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80850br1 80850fj1 |
Quadratic twists by: 5 -7 |