Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342p |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8077281743538 = 2 · 36 · 78 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-230211,42571899] |
[a1,a2,a3,a4,a6] |
j |
15732118860193/94178 |
j-invariant |
L |
2.6271540239379 |
L(r)(E,1)/r! |
Ω |
0.65678850598447 |
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 |
3038l2 3906c2 |
Quadratic twists by: -3 -7 |