Atkin-Lehner |
3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
26775bd |
Isogeny class |
Conductor |
26775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-74721076171875 = -1 · 38 · 59 · 73 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ 6 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2785800,1789670281] |
[a1,a2,a3,a4,a6] |
Generators |
[7730:1121:8] |
Generators of the group modulo torsion |
j |
-209906535145406464/6559875 |
j-invariant |
L |
4.842848968104 |
L(r)(E,1)/r! |
Ω |
0.44988274732979 |
Real period |
R |
1.3455864324782 |
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 |
8925a2 5355o2 |
Quadratic twists by: -3 5 |