Atkin-Lehner |
2- 3+ 5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
117300d |
Isogeny class |
Conductor |
117300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.34904873141E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,540492,-88702488] |
[a1,a2,a3,a4,a6] |
Generators |
[5486:409822:1] |
Generators of the group modulo torsion |
j |
4365467183868464/3372621828525 |
j-invariant |
L |
5.7951113985429 |
L(r)(E,1)/r! |
Ω |
0.12462624273351 |
Real period |
R |
7.7499881173853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999943893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23460n2 |
Quadratic twists by: 5 |