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 |
17655753515625 = 38 · 58 · 832 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31167,-2100384] |
[a1,a2,a3,a4,a6] |
Generators |
[1327524:40538238:1331] |
Generators of the group modulo torsion |
j |
293946977449/1550025 |
j-invariant |
L |
5.5609788074662 |
L(r)(E,1)/r! |
Ω |
0.35942892012204 |
Real period |
R |
7.7358533163915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6225e2 3735e2 |
Quadratic twists by: -3 5 |