Atkin-Lehner |
2+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638f |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5376 |
Modular degree for the optimal curve |
Δ |
-15490178 = -1 · 2 · 114 · 232 |
Discriminant |
Eigenvalues |
2+ 3 -2 2 11+ -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,62,14] |
[a1,a2,a3,a4,a6] |
j |
49373847/29282 |
j-invariant |
L |
2.6949387948946 |
L(r)(E,1)/r! |
Ω |
1.3474693974473 |
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 |
93104bi1 104742ck1 128018bj1 11638m1 |
Quadratic twists by: -4 -3 -11 -23 |