Atkin-Lehner |
2- 3- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608bh |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
1012239618048 = 212 · 37 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -4 -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7320,-236144] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:9:1] [-48:68:1] |
Generators of the group modulo torsion |
j |
14526784000/338997 |
j-invariant |
L |
12.552291918683 |
L(r)(E,1)/r! |
Ω |
0.51687919705149 |
Real period |
R |
1.0118653764249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997658 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608bn1 37536h1 |
Quadratic twists by: -4 -3 |