Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27225bg |
Isogeny class |
Conductor |
27225 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-105480646368075 = -1 · 39 · 52 · 118 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11- -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-25410,1635466] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:1633:1] |
Generators of the group modulo torsion |
j |
-56197120/3267 |
j-invariant |
L |
4.3498947398232 |
L(r)(E,1)/r! |
Ω |
0.58747318840872 |
Real period |
R |
0.92555175828655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9075f1 27225bz1 2475i1 |
Quadratic twists by: -3 5 -11 |