Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2842b |
Isogeny class |
Conductor |
2842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-108981897845997568 = -1 · 216 · 711 · 292 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 4 2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-104102,20470776] |
[a1,a2,a3,a4,a6] |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
0.61110565091475 |
L(r)(E,1)/r! |
Ω |
0.30555282545737 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22736bc1 90944cc1 25578bv1 71050bu1 |
Quadratic twists by: -4 8 -3 5 |