Atkin-Lehner |
3- 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
18675k |
Isogeny class |
Conductor |
18675 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8108699064609375 = -1 · 37 · 57 · 834 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14292,-4378509] |
[a1,a2,a3,a4,a6] |
Generators |
[9510:320937:8] |
Generators of the group modulo torsion |
j |
-28344726649/711874815 |
j-invariant |
L |
5.5609788074662 |
L(r)(E,1)/r! |
Ω |
0.17971446006102 |
Real period |
R |
3.8679266581958 |
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 |
6225e4 3735e4 |
Quadratic twists by: -3 5 |