Atkin-Lehner |
2- 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
112608bn |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
12 |
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 |
[-20:612:1] |
Generators of the group modulo torsion |
j |
14526784000/338997 |
j-invariant |
L |
5.5895120545607 |
L(r)(E,1)/r! |
Ω |
0.87593653942585 |
Real period |
R |
0.53176531815037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999709326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608bh1 37536c1 |
Quadratic twists by: -4 -3 |