Atkin-Lehner |
2+ 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270v |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29851186310435000 = 23 · 54 · 7 · 318 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 0 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-271503,53790506] |
[a1,a2,a3,a4,a6] |
j |
2493877677481/33635000 |
j-invariant |
L |
1.4929684486603 |
L(r)(E,1)/r! |
Ω |
0.37324211450457 |
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 |
2170g2 |
Quadratic twists by: -31 |