Atkin-Lehner |
2+ 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312q |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
263613502291968 = 215 · 32 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2634337,-1644838847] |
[a1,a2,a3,a4,a6] |
j |
1311494070536/171 |
j-invariant |
L |
4.2661312452445 |
L(r)(E,1)/r! |
Ω |
0.11850364570743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69312bs4 34656bf4 3648l3 |
Quadratic twists by: -4 8 -19 |