Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2730ba |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-5156082432978750 = -1 · 2 · 320 · 54 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-18136,-3581890] |
[a1,a2,a3,a4,a6] |
j |
-659704930833045889/5156082432978750 |
j-invariant |
L |
3.6292323573261 |
L(r)(E,1)/r! |
Ω |
0.1814616178663 |
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 |
21840w3 87360bm3 8190u4 13650b4 |
Quadratic twists by: -4 8 -3 5 |