Atkin-Lehner |
2+ 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494u |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10574241583752 = 23 · 36 · 74 · 112 · 792 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45738,3773196] |
[a1,a2,a3,a4,a6] |
Generators |
[105:294:1] [-21:2184:1] |
Generators of the group modulo torsion |
j |
14515534601057953/14505132488 |
j-invariant |
L |
7.9065400938126 |
L(r)(E,1)/r! |
Ω |
0.71786386437346 |
Real period |
R |
1.3767478221083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999987873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12166n2 |
Quadratic twists by: -3 |