Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85848v |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
4212151223583744 = 210 · 38 · 76 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97624,-11350144] |
[a1,a2,a3,a4,a6] |
j |
854102039332/34963569 |
j-invariant |
L |
2.1661847171667 |
L(r)(E,1)/r! |
Ω |
0.27077309091033 |
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 |
1752g2 |
Quadratic twists by: -7 |