Atkin-Lehner |
2- 3+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
112608bc |
Isogeny class |
Conductor |
112608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
9110156562432 = 212 · 39 · 173 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 2 -1 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115560,-15119568] |
[a1,a2,a3,a4,a6] |
Generators |
[-24420:1836:125] |
Generators of the group modulo torsion |
j |
2116874304000/112999 |
j-invariant |
L |
6.8968545440424 |
L(r)(E,1)/r! |
Ω |
0.25893995154306 |
Real period |
R |
2.2195797752725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999863447 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112608e1 112608b1 |
Quadratic twists by: -4 -3 |