Atkin-Lehner |
2- 3- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
110448bh |
Isogeny class |
Conductor |
110448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
429421824 = 28 · 37 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3- -3 0 0 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-1316] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] |
Generators of the group modulo torsion |
j |
10903552/2301 |
j-invariant |
L |
4.086483772194 |
L(r)(E,1)/r! |
Ω |
1.2020640669811 |
Real period |
R |
0.84988891429617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000178613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27612d1 36816q1 |
Quadratic twists by: -4 -3 |