Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
105196p |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
120528 |
Modular degree for the optimal curve |
Δ |
-1580885488 = -1 · 24 · 7 · 132 · 174 |
Discriminant |
Eigenvalues |
2- -2 0 7- 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28418,1834465] |
[a1,a2,a3,a4,a6] |
Generators |
[62:561:1] |
Generators of the group modulo torsion |
j |
-1899344992000/1183 |
j-invariant |
L |
4.3768681723864 |
L(r)(E,1)/r! |
Ω |
1.240477007621 |
Real period |
R |
1.7641875332538 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064248 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
105196g1 |
Quadratic twists by: 17 |