Atkin-Lehner |
19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
551a |
Isogeny class |
Conductor |
551 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24 |
Modular degree for the optimal curve |
Δ |
-10469 = -1 · 192 · 29 |
Discriminant |
Eigenvalues |
1 1 -1 -4 1 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[7:15:1] |
Generators of the group modulo torsion |
j |
357911/10469 |
j-invariant |
L |
2.4701875222305 |
L(r)(E,1)/r! |
Ω |
1.9602738232082 |
Real period |
R |
0.6300618548759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8816d1 35264c1 4959e1 13775d1 |
Quadratic twists by: -4 8 -3 5 |