Atkin-Lehner |
2- 3+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46992f |
Isogeny class |
Conductor |
46992 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
-4933032192 = -1 · 28 · 39 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-748,-8324] |
[a1,a2,a3,a4,a6] |
Generators |
[43084005:222314078:912673] |
Generators of the group modulo torsion |
j |
-181037698000/19269657 |
j-invariant |
L |
6.0301253198705 |
L(r)(E,1)/r! |
Ω |
0.45367219759531 |
Real period |
R |
13.291811470575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999871 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11748d1 |
Quadratic twists by: -4 |