Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710z |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-242767911375000 = -1 · 23 · 33 · 56 · 114 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14396,-345094] |
[a1,a2,a3,a4,a6] |
Generators |
[374:5059:8] |
Generators of the group modulo torsion |
j |
22538336092151/16581375000 |
j-invariant |
L |
5.9758564903854 |
L(r)(E,1)/r! |
Ω |
0.31158040751756 |
Real period |
R |
3.1965298770938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998391 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710cn2 |
Quadratic twists by: -11 |