Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688bc |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.1823631466738E+30 |
Discriminant |
Eigenvalues |
2- 3- -2 2 4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-12190787384,520709394617940] |
[a1,a2,a3,a4,a6] |
Generators |
[-122522:13232832:1] |
Generators of the group modulo torsion |
j |
-10298071306410575356297/60769798505543808 |
j-invariant |
L |
7.7227016049726 |
L(r)(E,1)/r! |
Ω |
0.02753317386362 |
Real period |
R |
2.9217411968675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10086c2 1968e2 |
Quadratic twists by: -4 41 |