Atkin-Lehner |
2- 3- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
60258x |
Isogeny class |
Conductor |
60258 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
171198014725188 = 22 · 318 · 113 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-23988,1281996] |
[a1,a2,a3,a4,a6] |
Generators |
[132:582:1] |
Generators of the group modulo torsion |
j |
1146908862546875/128623602348 |
j-invariant |
L |
11.749319191179 |
L(r)(E,1)/r! |
Ω |
0.55384364087263 |
Real period |
R |
1.1785635997329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998391 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60258k2 |
Quadratic twists by: -11 |