Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
20636d |
Isogeny class |
Conductor |
20636 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
263788419664 = 24 · 75 · 114 · 67 |
Discriminant |
Eigenvalues |
2- -3 -3 7- 11- -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5344,148321] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:301:1] [-50:539:1] |
Generators of the group modulo torsion |
j |
1054880047300608/16486776229 |
j-invariant |
L |
4.2471985348351 |
L(r)(E,1)/r! |
Ω |
0.98335146856355 |
Real period |
R |
0.071985088251986 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82544u1 |
Quadratic twists by: -4 |