Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
62304j |
Isogeny class |
Conductor |
62304 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
25088 |
Modular degree for the optimal curve |
Δ |
-726713856 = -1 · 29 · 37 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 11+ 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,168,-936] |
[a1,a2,a3,a4,a6] |
Generators |
[6:18:1] [14:66:1] |
Generators of the group modulo torsion |
j |
1018108216/1419363 |
j-invariant |
L |
10.291266424009 |
L(r)(E,1)/r! |
Ω |
0.85261512236513 |
Real period |
R |
0.86215977124711 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999675 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62304i1 124608cs1 |
Quadratic twists by: -4 8 |