Atkin-Lehner |
3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775g |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1280932734375 = -1 · 39 · 57 · 72 · 17 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 0 0 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-380,54622] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:245:1] |
Generators of the group modulo torsion |
j |
-19683/4165 |
j-invariant |
L |
3.5470447704912 |
L(r)(E,1)/r! |
Ω |
0.70174832991696 |
Real period |
R |
2.5272912091653 |
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 |
26775c1 5355a1 |
Quadratic twists by: -3 5 |