Atkin-Lehner |
2+ 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
22506i |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-313576446173761584 = -1 · 24 · 32 · 119 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11+ -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,33635,26839976] |
[a1,a2,a3,a4,a6] |
Generators |
[319:8210:1] |
Generators of the group modulo torsion |
j |
1784770597/132987024 |
j-invariant |
L |
4.842654468328 |
L(r)(E,1)/r! |
Ω |
0.23364193867063 |
Real period |
R |
2.5908525326626 |
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 |
67518bj2 22506bf2 |
Quadratic twists by: -3 -11 |