Atkin-Lehner |
3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
627b |
Isogeny class |
Conductor |
627 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
180 |
Modular degree for the optimal curve |
Δ |
-497763387 = -1 · 39 · 113 · 19 |
Discriminant |
Eigenvalues |
0 3- 0 2 11- -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-363,-2995] |
[a1,a2,a3,a4,a6] |
j |
-5304438784000/497763387 |
j-invariant |
L |
1.6315590080232 |
L(r)(E,1)/r! |
Ω |
0.54385300267439 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
10032f1 40128a1 1881a1 15675j1 |
Quadratic twists by: -4 8 -3 5 |