Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
18396a |
Isogeny class |
Conductor |
18396 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1211486976 = 28 · 33 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 6 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1119,14310] |
[a1,a2,a3,a4,a6] |
Generators |
[15:30:1] |
Generators of the group modulo torsion |
j |
22418690544/175273 |
j-invariant |
L |
6.0382278185119 |
L(r)(E,1)/r! |
Ω |
1.5448046982186 |
Real period |
R |
1.3029107229488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73584q2 18396b2 128772b2 |
Quadratic twists by: -4 -3 -7 |