Atkin-Lehner |
2+ 3- 5- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130bb |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-33471691815960 = -1 · 23 · 311 · 5 · 23 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -5 6 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1476,277128] |
[a1,a2,a3,a4,a6] |
j |
487629237311/45914529240 |
j-invariant |
L |
3.0127943697202 |
L(r)(E,1)/r! |
Ω |
0.50213230465303 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40710bc1 |
Quadratic twists by: -3 |