Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
2730w |
Isogeny class |
Conductor |
2730 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-342606902820 = -1 · 22 · 3 · 5 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1645,12245] |
[a1,a2,a3,a4,a6] |
j |
492271755328079/342606902820 |
j-invariant |
L |
2.4286434708265 |
L(r)(E,1)/r! |
Ω |
0.60716086770662 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21840ck3 87360bw3 8190k4 13650be4 |
Quadratic twists by: -4 8 -3 5 |