Atkin-Lehner |
2+ 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
78144f |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-5.6443145024186E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-235959569,1395180660369] |
[a1,a2,a3,a4,a6] |
Generators |
[657394303646595368:-2882808850077653265:72141959701189] |
Generators of the group modulo torsion |
j |
-88678136326676754811067728/344501617579257699 |
j-invariant |
L |
4.9842003137098 |
L(r)(E,1)/r! |
Ω |
0.11872829324211 |
Real period |
R |
20.989943415649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144da2 9768k2 |
Quadratic twists by: -4 8 |