Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
44352d |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11992196381147136 = -1 · 221 · 39 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 4 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,54324,-2002320] |
[a1,a2,a3,a4,a6] |
j |
3436115229/2324168 |
j-invariant |
L |
1.822555742801 |
L(r)(E,1)/r! |
Ω |
0.2278194678299 |
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 |
44352dc2 1386a2 44352a2 |
Quadratic twists by: -4 8 -3 |