Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952dq |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5806080 |
Modular degree for the optimal curve |
Δ |
2.3382033657885E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 0 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8477931,9212065562] |
[a1,a2,a3,a4,a6] |
Generators |
[87172:885681:64] |
Generators of the group modulo torsion |
j |
3914907891433/135834624 |
j-invariant |
L |
9.5113487680054 |
L(r)(E,1)/r! |
Ω |
0.1445360389029 |
Real period |
R |
8.2257588047644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994by1 39984bj1 119952gx1 |
Quadratic twists by: -4 -3 -7 |