Atkin-Lehner |
2+ 3- 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
34170d |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
5.8101569905872E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7942174,-8607889984] |
[a1,a2,a3,a4,a6] |
j |
55404089996956795948563289/58101569905872416400 |
j-invariant |
L |
1.6188796411484 |
L(r)(E,1)/r! |
Ω |
0.089937757841695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102510ba2 |
Quadratic twists by: -3 |