Atkin-Lehner |
5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
1885d |
Isogeny class |
Conductor |
1885 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
1366625 = 53 · 13 · 292 |
Discriminant |
Eigenvalues |
1 -2 5+ 0 6 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-44,-99] |
[a1,a2,a3,a4,a6] |
Generators |
[11:22:1] |
Generators of the group modulo torsion |
j |
9116230969/1366625 |
j-invariant |
L |
2.5281369920408 |
L(r)(E,1)/r! |
Ω |
1.8774404911927 |
Real period |
R |
2.6931740355027 |
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 |
30160w1 120640bc1 16965r1 9425c1 |
Quadratic twists by: -4 8 -3 5 |