Atkin-Lehner |
2- 3+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
120900g |
Isogeny class |
Conductor |
120900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
186624 |
Modular degree for the optimal curve |
Δ |
-5440500000000 = -1 · 28 · 33 · 59 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1492,109512] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:250:1] |
Generators of the group modulo torsion |
j |
91765424/1360125 |
j-invariant |
L |
3.400189618152 |
L(r)(E,1)/r! |
Ω |
0.56592295538043 |
Real period |
R |
1.5020550078429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999453627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24180j1 |
Quadratic twists by: 5 |