Atkin-Lehner |
2+ 3+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4032c |
Isogeny class |
Conductor |
4032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-21676032 = -1 · 214 · 33 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,208] |
[a1,a2,a3,a4,a6] |
j |
11664/49 |
j-invariant |
L |
3.0709583577088 |
L(r)(E,1)/r! |
Ω |
1.5354791788544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4032t2 504e2 4032d2 100800o2 |
Quadratic twists by: -4 8 -3 5 |