Atkin-Lehner |
2- 3+ 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20670r |
Isogeny class |
Conductor |
20670 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-7933528395000 = -1 · 23 · 311 · 54 · 132 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 13+ -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3574,109199] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:325:1] |
Generators of the group modulo torsion |
j |
5048702287597151/7933528395000 |
j-invariant |
L |
6.1491671753829 |
L(r)(E,1)/r! |
Ω |
0.50335561546062 |
Real period |
R |
1.0180289684057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62010o1 103350r1 |
Quadratic twists by: -3 5 |