Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352cp |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
40789783609344 = 220 · 38 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9516,182320] |
[a1,a2,a3,a4,a6] |
j |
498677257/213444 |
j-invariant |
L |
2.3272728712265 |
L(r)(E,1)/r! |
Ω |
0.58181821782198 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44352dn2 1386l2 14784bd2 |
Quadratic twists by: -4 8 -3 |