Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
124608dn |
Isogeny class |
Conductor |
124608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
68608 |
Modular degree for the optimal curve |
Δ |
23924736 = 212 · 32 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-857,-9945] |
[a1,a2,a3,a4,a6] |
Generators |
[226:3375:1] |
Generators of the group modulo torsion |
j |
17014253248/5841 |
j-invariant |
L |
8.7255700730322 |
L(r)(E,1)/r! |
Ω |
0.88230974269788 |
Real period |
R |
4.9447317870444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013246 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124608bz1 62304b1 |
Quadratic twists by: -4 8 |