Atkin-Lehner |
2- 3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
48348f |
Isogeny class |
Conductor |
48348 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
4692658427136 = 28 · 37 · 17 · 793 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 4 -2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63048,-6092444] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:22:1] |
Generators of the group modulo torsion |
j |
148514946113536/25144989 |
j-invariant |
L |
4.7692790360313 |
L(r)(E,1)/r! |
Ω |
0.30129098576245 |
Real period |
R |
2.6382463362735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16116c1 |
Quadratic twists by: -3 |