Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775j |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
3935925 = 33 · 52 · 73 · 17 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -5 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-45,66] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-11:1] |
Generators of the group modulo torsion |
j |
14929920/5831 |
j-invariant |
L |
2.5098594921779 |
L(r)(E,1)/r! |
Ω |
2.2547808243512 |
Real period |
R |
0.18552132023002 |
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 |
26775e1 26775l1 |
Quadratic twists by: -3 5 |