Atkin-Lehner |
2- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
113680bq |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-432107683840 = -1 · 221 · 5 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -1 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1547,39354] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:232:1] |
Generators of the group modulo torsion |
j |
-2040039729/2152960 |
j-invariant |
L |
8.0547932023013 |
L(r)(E,1)/r! |
Ω |
0.85606069949241 |
Real period |
R |
2.3522844918152 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999657688 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14210r1 113680t1 |
Quadratic twists by: -4 -7 |