Atkin-Lehner |
2+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12710h |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2.9362377399057E+19 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 0 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-898067,-198710611] |
[a1,a2,a3,a4,a6] |
Generators |
[-18555:271739:27] |
Generators of the group modulo torsion |
j |
80103350641877733998521/29362377399056814080 |
j-invariant |
L |
5.4188052577361 |
L(r)(E,1)/r! |
Ω |
0.15985420942806 |
Real period |
R |
4.2373025999158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680u2 114390bm2 63550x2 |
Quadratic twists by: -4 -3 5 |