Atkin-Lehner |
2- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42688m |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
15709184 = 210 · 232 · 29 |
Discriminant |
Eigenvalues |
2- -2 -2 0 0 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69,91] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:8:1] [-2:15:1] |
Generators of the group modulo torsion |
j |
35995648/15341 |
j-invariant |
L |
6.0514858332068 |
L(r)(E,1)/r! |
Ω |
1.9929985196133 |
Real period |
R |
3.0363724677425 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42688f1 10672e1 |
Quadratic twists by: -4 8 |