Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bg |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
182990390625 = 39 · 57 · 7 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -4 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75380,7984622] |
[a1,a2,a3,a4,a6] |
Generators |
[160:-54:1] |
Generators of the group modulo torsion |
j |
4158523459441/16065 |
j-invariant |
L |
2.6570015234062 |
L(r)(E,1)/r! |
Ω |
0.88833287186798 |
Real period |
R |
2.990997640129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8925q1 5355g1 |
Quadratic twists by: -3 5 |