Atkin-Lehner |
5- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19565j |
Isogeny class |
Conductor |
19565 |
Conductor |
∏ cp |
243 |
Product of Tamagawa factors cp |
Δ |
881105265894069125 = 53 · 79 · 133 · 433 |
Discriminant |
Eigenvalues |
0 -2 5- 7- 0 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-268385,28622931] |
[a1,a2,a3,a4,a6] |
Generators |
[463:1956:1] |
Generators of the group modulo torsion |
j |
2137962330010568359936/881105265894069125 |
j-invariant |
L |
3.087678294914 |
L(r)(E,1)/r! |
Ω |
0.25420132130877 |
Real period |
R |
0.44987356784144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
97825a2 |
Quadratic twists by: 5 |