Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310u |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-76871856600 = -1 · 23 · 33 · 52 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,759,-10575] |
[a1,a2,a3,a4,a6] |
j |
48351870250991/76871856600 |
j-invariant |
L |
3.4428238044901 |
L(r)(E,1)/r! |
Ω |
0.57380396741502 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
18480bp2 73920bv2 6930q2 11550d2 |
Quadratic twists by: -4 8 -3 5 |