Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85848v |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
554235898036488192 = 211 · 34 · 76 · 734 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-256384,34753760] |
[a1,a2,a3,a4,a6] |
j |
7735350027746/2300257521 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
1752g3 |
Quadratic twists by: -7 |