Atkin-Lehner |
2- 3+ 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
27738k |
Isogeny class |
Conductor |
27738 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
9920 |
Modular degree for the optimal curve |
Δ |
-42605568 = -1 · 210 · 33 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 2 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64,227] |
[a1,a2,a3,a4,a6] |
Generators |
[3:19:1] |
Generators of the group modulo torsion |
j |
1089547389/1577984 |
j-invariant |
L |
8.7764196339606 |
L(r)(E,1)/r! |
Ω |
1.3764934862348 |
Real period |
R |
1.2751850585166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27738a1 |
Quadratic twists by: -3 |