Atkin-Lehner |
2- 3- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26316i |
Isogeny class |
Conductor |
26316 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
-8526384 = -1 · 24 · 36 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 0 -4 1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,133] |
[a1,a2,a3,a4,a6] |
Generators |
[66:239:8] |
Generators of the group modulo torsion |
j |
131072/731 |
j-invariant |
L |
6.6224656323459 |
L(r)(E,1)/r! |
Ω |
1.6767007770778 |
Real period |
R |
3.9497003418151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264br1 2924a1 |
Quadratic twists by: -4 -3 |