Atkin-Lehner |
2- 3+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
18126j |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-134645311422 = -1 · 2 · 33 · 196 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 4 0 4 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1267,-3501] |
[a1,a2,a3,a4,a6] |
j |
8337024993933/4986863386 |
j-invariant |
L |
7.2625410023107 |
L(r)(E,1)/r! |
Ω |
0.60521175019256 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18126a2 |
Quadratic twists by: -3 |