Atkin-Lehner |
2+ 3- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18354k |
Isogeny class |
Conductor |
18354 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-445438879032 = -1 · 23 · 3 · 76 · 193 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-311,-32206] |
[a1,a2,a3,a4,a6] |
Generators |
[44:177:1] |
Generators of the group modulo torsion |
j |
-3311280267625/445438879032 |
j-invariant |
L |
4.6292870407477 |
L(r)(E,1)/r! |
Ω |
0.41719692651579 |
Real period |
R |
0.61645375847499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55062bj2 128478i2 |
Quadratic twists by: -3 -7 |