Atkin-Lehner |
2+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112c |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3468276060805956608 = -1 · 210 · 134 · 179 |
Discriminant |
Eigenvalues |
2+ 0 0 -4 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171955,93710562] |
[a1,a2,a3,a4,a6] |
Generators |
[5198:373692:1] |
Generators of the group modulo torsion |
j |
-4630500/28561 |
j-invariant |
L |
3.715573646059 |
L(r)(E,1)/r! |
Ω |
0.21596711092995 |
Real period |
R |
8.6021747245707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000266 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30056a2 60112b2 |
Quadratic twists by: -4 17 |