Atkin-Lehner |
2+ 3- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112r |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
46 |
Product of Tamagawa factors cp |
deg |
198190080 |
Modular degree for the optimal curve |
Δ |
-1.0616114971337E+31 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -4 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2300422047,150900830532351] |
[a1,a2,a3,a4,a6] |
j |
5135779311915892250749430375/40497264752720201543319552 |
j-invariant |
L |
0.76571679994776 |
L(r)(E,1)/r! |
Ω |
0.016646019002367 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98112bn1 3066a1 |
Quadratic twists by: -4 8 |