Atkin-Lehner |
3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2223a |
Isogeny class |
Conductor |
2223 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-911027932274421 = -1 · 317 · 135 · 19 |
Discriminant |
Eigenvalues |
-1 3- -3 5 0 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47039,4198412] |
[a1,a2,a3,a4,a6] |
j |
-15789259762088617/1249695380349 |
j-invariant |
L |
0.975904756323 |
L(r)(E,1)/r! |
Ω |
0.4879523781615 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568bv1 741c1 55575r1 108927bd1 |
Quadratic twists by: -4 -3 5 -7 |