Atkin-Lehner |
2- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
74048t |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[-21:356:1] |
Generators of the group modulo torsion |
j |
30080231/34804874 |
j-invariant |
L |
3.4221790434322 |
L(r)(E,1)/r! |
Ω |
0.57122361670297 |
Real period |
R |
1.4977405275335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048c1 18512k1 |
Quadratic twists by: -4 8 |