Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
8784r |
Isogeny class |
Conductor |
8784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
18749553408 = 28 · 39 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 2 0 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1479,-20878] |
[a1,a2,a3,a4,a6] |
Generators |
[35946:117730:729] |
Generators of the group modulo torsion |
j |
1917170512/100467 |
j-invariant |
L |
5.1019959556608 |
L(r)(E,1)/r! |
Ω |
0.7723617001756 |
Real period |
R |
6.6057081215974 |
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 |
2196c2 35136cp2 2928h2 |
Quadratic twists by: -4 8 -3 |