Atkin-Lehner |
2+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
109888m |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
2420750561815052288 = 214 · 175 · 1014 |
Discriminant |
Eigenvalues |
2+ -2 2 2 2 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1838737,956145807] |
[a1,a2,a3,a4,a6] |
Generators |
[-1071:41208:1] |
Generators of the group modulo torsion |
j |
41962644984639710032/147750888782657 |
j-invariant |
L |
6.1246055846764 |
L(r)(E,1)/r! |
Ω |
0.25910070055774 |
Real period |
R |
1.18189676256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109888ba1 13736h1 |
Quadratic twists by: -4 8 |