Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
6030x |
Isogeny class |
Conductor |
6030 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
2800212797030400 = 220 · 313 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-689927,220730879] |
[a1,a2,a3,a4,a6] |
j |
49820148452546463529/3841169817600 |
j-invariant |
L |
4.3180171646296 |
L(r)(E,1)/r! |
Ω |
0.43180171646296 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48240cd1 2010d1 30150bc1 |
Quadratic twists by: -4 -3 5 |