Atkin-Lehner |
2+ 3- 7+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
27258o |
Isogeny class |
Conductor |
27258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
142848 |
Modular degree for the optimal curve |
Δ |
-35112040744704 = -1 · 28 · 3 · 73 · 11 · 594 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18330,-998324] |
[a1,a2,a3,a4,a6] |
Generators |
[12789318807372771986:-51454046761672051337:78648658388070623] |
Generators of the group modulo torsion |
j |
-681046942804831513/35112040744704 |
j-invariant |
L |
5.593299300519 |
L(r)(E,1)/r! |
Ω |
0.20454089975207 |
Real period |
R |
27.34562773166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81774bt1 |
Quadratic twists by: -3 |