Atkin-Lehner |
2+ 3- 23- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576f |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.4141134587676E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7137579,-39225230890] |
[a1,a2,a3,a4,a6] |
Generators |
[2459582524606970648629120:-113527712446878745716379405:485415681899519541248] |
Generators of the group modulo torsion |
j |
-53870252547969208228/859229447815880199 |
j-invariant |
L |
6.1178023746653 |
L(r)(E,1)/r! |
Ω |
0.039105761076625 |
Real period |
R |
39.110620364449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118576 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192g3 |
Quadratic twists by: -3 |