Atkin-Lehner |
2+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824b |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
191414900411392 = 210 · 77 · 613 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 3 0 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93704,-10989152] |
[a1,a2,a3,a4,a6] |
Generators |
[446:5978:1] |
Generators of the group modulo torsion |
j |
755291402212/1588867 |
j-invariant |
L |
3.716045172806 |
L(r)(E,1)/r! |
Ω |
0.27290690562287 |
Real period |
R |
0.56735543272495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23912b1 6832a1 |
Quadratic twists by: -4 -7 |