Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850gi |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
2128 |
Product of Tamagawa factors cp |
deg |
257402880 |
Modular degree for the optimal curve |
Δ |
-1.2612729118477E+31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6972929713,-281822676066583] |
[a1,a2,a3,a4,a6] |
j |
-59465789423385795028207/20003531867239219200 |
j-invariant |
L |
4.3210759332046 |
L(r)(E,1)/r! |
Ω |
0.0081223232768371 |
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 |
16170h1 80850ed1 |
Quadratic twists by: 5 -7 |