Atkin-Lehner |
2+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
74048c |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-9123888889856 = -1 · 219 · 133 · 892 |
Discriminant |
Eigenvalues |
2+ 1 1 3 0 13+ -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,415,-145153] |
[a1,a2,a3,a4,a6] |
j |
30080231/34804874 |
j-invariant |
L |
2.720781450366 |
L(r)(E,1)/r! |
Ω |
0.3400976828327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048t1 2314b1 |
Quadratic twists by: -4 8 |