Atkin-Lehner |
2+ 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
27768b |
Isogeny class |
Conductor |
27768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10176 |
Modular degree for the optimal curve |
Δ |
-316333056 = -1 · 210 · 3 · 13 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-224,-1476] |
[a1,a2,a3,a4,a6] |
j |
-1219284868/308919 |
j-invariant |
L |
0.60870015763683 |
L(r)(E,1)/r! |
Ω |
0.60870015763686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55536k1 83304q1 |
Quadratic twists by: -4 -3 |