Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
109368be |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-569695626646272 = -1 · 28 · 39 · 76 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6615,-1166886] |
[a1,a2,a3,a4,a6] |
Generators |
[315:5292:1] |
Generators of the group modulo torsion |
j |
-54000/961 |
j-invariant |
L |
5.9651582458819 |
L(r)(E,1)/r! |
Ω |
0.22263672179022 |
Real period |
R |
1.6745772446844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000059723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109368c2 2232h2 |
Quadratic twists by: -3 -7 |