Atkin-Lehner |
2- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
110894s |
Isogeny class |
Conductor |
110894 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-138709466232378944 = -1 · 26 · 72 · 897 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 0 -4 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-324926,73479812] |
[a1,a2,a3,a4,a6] |
Generators |
[-586:8214:1] |
Generators of the group modulo torsion |
j |
-7633736209/279104 |
j-invariant |
L |
10.36692490558 |
L(r)(E,1)/r! |
Ω |
0.32529193691062 |
Real period |
R |
0.66395006507157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999777995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1246i1 |
Quadratic twists by: 89 |