Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89908h |
Isogeny class |
Conductor |
89908 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2056320 |
Modular degree for the optimal curve |
Δ |
-9.6372636638766E+18 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-789962,308509813] |
[a1,a2,a3,a4,a6] |
Generators |
[397:7591:1] |
Generators of the group modulo torsion |
j |
-705931834922752/124788235663 |
j-invariant |
L |
5.8229837402027 |
L(r)(E,1)/r! |
Ω |
0.22112204559 |
Real period |
R |
6.5834500233237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999921263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6916d1 |
Quadratic twists by: 13 |