Atkin-Lehner |
2- 3+ 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
18396b |
Isogeny class |
Conductor |
18396 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
883174005504 = 28 · 39 · 74 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10071,-386370] |
[a1,a2,a3,a4,a6] |
Generators |
[29668:622349:64] |
Generators of the group modulo torsion |
j |
22418690544/175273 |
j-invariant |
L |
3.3772939040089 |
L(r)(E,1)/r! |
Ω |
0.47679988785888 |
Real period |
R |
7.0832523035502 |
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 |
73584s2 18396a2 128772a2 |
Quadratic twists by: -4 -3 -7 |