Atkin-Lehner |
2+ 3- 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
61950bh |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
146202000 = 24 · 3 · 53 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-396,2938] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-1:1] |
Generators of the group modulo torsion |
j |
54742142573/1169616 |
j-invariant |
L |
5.9172307159944 |
L(r)(E,1)/r! |
Ω |
1.8318877732535 |
Real period |
R |
1.6150636525158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950bv1 |
Quadratic twists by: 5 |