Atkin-Lehner |
2- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
62192n |
Isogeny class |
Conductor |
62192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-369463268096 = -1 · 28 · 137 · 23 |
Discriminant |
Eigenvalues |
2- -3 -3 0 -5 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2704,61516] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:338:1] [13:169:1] |
Generators of the group modulo torsion |
j |
-1769472/299 |
j-invariant |
L |
4.7616743649686 |
L(r)(E,1)/r! |
Ω |
0.9187424282176 |
Real period |
R |
0.6478521915805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15548c1 4784g1 |
Quadratic twists by: -4 13 |