Atkin-Lehner |
2+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
6992d |
Isogeny class |
Conductor |
6992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5444586496 = -1 · 210 · 19 · 234 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,229,3290] |
[a1,a2,a3,a4,a6] |
j |
1296970812/5316979 |
j-invariant |
L |
0.96791409765715 |
L(r)(E,1)/r! |
Ω |
0.96791409765715 |
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 |
3496d4 27968ca3 62928c3 |
Quadratic twists by: -4 8 -3 |