Atkin-Lehner |
2+ 3+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
105120c |
Isogeny class |
Conductor |
105120 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
6713005248000000 = 212 · 39 · 56 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2247372,-1296756864] |
[a1,a2,a3,a4,a6] |
Generators |
[1782:18900:1] |
Generators of the group modulo torsion |
j |
15570313923102912/83265625 |
j-invariant |
L |
8.5066737954692 |
L(r)(E,1)/r! |
Ω |
0.12330507525994 |
Real period |
R |
2.87453489221 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007239 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105120d2 105120q2 |
Quadratic twists by: -4 -3 |