Atkin-Lehner |
2+ 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
85514a |
Isogeny class |
Conductor |
85514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.7990285108384E+20 |
Discriminant |
Eigenvalues |
2+ 1 3 -5 11+ 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1279833,-754106052] |
[a1,a2,a3,a4,a6] |
Generators |
[75648:4216484:27] |
Generators of the group modulo torsion |
j |
48031262075064527/78706833248186 |
j-invariant |
L |
4.7029386388218 |
L(r)(E,1)/r! |
Ω |
0.089170277863894 |
Real period |
R |
6.5926376299267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6578e2 |
Quadratic twists by: 13 |