Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bj |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-15502914 = -1 · 2 · 36 · 73 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -6 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-146,739] |
[a1,a2,a3,a4,a6] |
j |
-1367631/62 |
j-invariant |
L |
4.3775417036872 |
L(r)(E,1)/r! |
Ω |
2.1887708518435 |
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 |
3038b1 27342bu1 |
Quadratic twists by: -3 -7 |