Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
85848n |
Isogeny class |
Conductor |
85848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-61581766448498688 = -1 · 211 · 32 · 76 · 734 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-68224,13792108] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:3592:1] |
Generators of the group modulo torsion |
j |
-145754986466/255584169 |
j-invariant |
L |
3.8724521149614 |
L(r)(E,1)/r! |
Ω |
0.31322346937454 |
Real period |
R |
6.1816123178453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004941 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752k4 |
Quadratic twists by: -7 |