Atkin-Lehner |
2- 3+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
12810o |
Isogeny class |
Conductor |
12810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-215420240281680 = -1 · 24 · 34 · 5 · 74 · 614 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-33760,-2503855] |
[a1,a2,a3,a4,a6] |
j |
-4255316133725744641/215420240281680 |
j-invariant |
L |
2.8093773198125 |
L(r)(E,1)/r! |
Ω |
0.17558608248828 |
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 |
102480co3 38430j3 64050be3 89670ca3 |
Quadratic twists by: -4 -3 5 -7 |