Atkin-Lehner |
2- 3+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
48348d |
Isogeny class |
Conductor |
48348 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
2682733824 = 28 · 33 · 173 · 79 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 -4 -2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-384,1476] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:34:1] [-12:66:1] |
Generators of the group modulo torsion |
j |
905969664/388127 |
j-invariant |
L |
7.0574441491465 |
L(r)(E,1)/r! |
Ω |
1.2979120303066 |
Real period |
R |
0.30208536584371 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48348b1 |
Quadratic twists by: -3 |