Atkin-Lehner |
2- 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
62608k |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59136 |
Modular degree for the optimal curve |
Δ |
-262596984832 = -1 · 226 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 3 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1739,37242] |
[a1,a2,a3,a4,a6] |
Generators |
[26:98:1] |
Generators of the group modulo torsion |
j |
-141991553313/64110592 |
j-invariant |
L |
6.8291120045358 |
L(r)(E,1)/r! |
Ω |
0.91778216031231 |
Real period |
R |
3.7204427696227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826i1 |
Quadratic twists by: -4 |