Atkin-Lehner |
2- 3- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
18396i |
Isogeny class |
Conductor |
18396 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8121600 |
Modular degree for the optimal curve |
Δ |
-3285484136613358848 = -1 · 28 · 321 · 75 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 3 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1801860807,29439468968110] |
[a1,a2,a3,a4,a6] |
j |
-3466729332466825523374801744/17604831836277 |
j-invariant |
L |
1.2138571894947 |
L(r)(E,1)/r! |
Ω |
0.12138571894947 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73584v1 6132f1 128772n1 |
Quadratic twists by: -4 -3 -7 |