Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1554g |
Isogeny class |
Conductor |
1554 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
344988 = 22 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-147,-747] |
[a1,a2,a3,a4,a6] |
j |
351447414193/344988 |
j-invariant |
L |
2.7422713411857 |
L(r)(E,1)/r! |
Ω |
1.3711356705928 |
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 |
12432bv2 49728by2 4662b2 38850bo2 |
Quadratic twists by: -4 8 -3 5 |