Atkin-Lehner |
19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
551d |
Isogeny class |
Conductor |
551 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-15979 = -1 · 19 · 292 |
Discriminant |
Eigenvalues |
-2 -2 -1 -1 1 2 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-116,444] |
[a1,a2,a3,a4,a6] |
Generators |
[9:14:1] |
Generators of the group modulo torsion |
j |
-174115016704/15979 |
j-invariant |
L |
0.78838772778561 |
L(r)(E,1)/r! |
Ω |
3.7489876608007 |
Real period |
R |
0.10514674881822 |
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 |
8816f1 35264f1 4959f1 13775e1 |
Quadratic twists by: -4 8 -3 5 |