Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59584g |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-47834988544 = -1 · 220 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 2 3 7+ 3 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4769,128801] |
[a1,a2,a3,a4,a6] |
Generators |
[40:21:1] |
Generators of the group modulo torsion |
j |
-19061833/76 |
j-invariant |
L |
12.039405731596 |
L(r)(E,1)/r! |
Ω |
1.1367428673038 |
Real period |
R |
1.7651904222594 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cd1 1862a1 59584bo1 |
Quadratic twists by: -4 8 -7 |