Atkin-Lehner |
2- 3- 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12810t |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-25329555577830 = -1 · 2 · 3 · 5 · 712 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7309,-27465] |
[a1,a2,a3,a4,a6] |
j |
43181118162906191/25329555577830 |
j-invariant |
L |
4.7342734851522 |
L(r)(E,1)/r! |
Ω |
0.39452279042935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102480x3 38430x3 64050a3 89670br3 |
Quadratic twists by: -4 -3 5 -7 |