Atkin-Lehner |
2- 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960v |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-37461504000 = -1 · 212 · 3 · 53 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -3 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,779,-4355] |
[a1,a2,a3,a4,a6] |
j |
12747309056/9145875 |
j-invariant |
L |
0.64957006383614 |
L(r)(E,1)/r! |
Ω |
0.64957006383614 |
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 |
435a2 27840ek2 20880co2 34800cw2 |
Quadratic twists by: -4 8 -3 5 |