Atkin-Lehner |
3- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18975m |
Isogeny class |
Conductor |
18975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
78924140625 = 3 · 57 · 114 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46063,-3809008] |
[a1,a2,a3,a4,a6] |
Generators |
[256:964:1] |
Generators of the group modulo torsion |
j |
691768740750121/5051145 |
j-invariant |
L |
3.8715938630485 |
L(r)(E,1)/r! |
Ω |
0.32588295147556 |
Real period |
R |
5.9401601794731 |
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 |
56925t4 3795c3 |
Quadratic twists by: -3 5 |