Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112x |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-658061964345344 = -1 · 221 · 13 · 176 |
Discriminant |
Eigenvalues |
2- 1 3 -1 6 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2124824,1191447188] |
[a1,a2,a3,a4,a6] |
Generators |
[617094:192896:729] |
Generators of the group modulo torsion |
j |
-10730978619193/6656 |
j-invariant |
L |
9.7967280110673 |
L(r)(E,1)/r! |
Ω |
0.42193237323508 |
Real period |
R |
5.8046790387881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7514b3 208a3 |
Quadratic twists by: -4 17 |