Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352ch |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-5390607966093504 = -1 · 26 · 36 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15864,3447722] |
[a1,a2,a3,a4,a6] |
Generators |
[61614905:1289964319:166375] |
Generators of the group modulo torsion |
j |
9463555063808/115539436859 |
j-invariant |
L |
8.3944996910612 |
L(r)(E,1)/r! |
Ω |
0.31698621112741 |
Real period |
R |
13.241111752465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44352ec3 693c3 4928o3 |
Quadratic twists by: -4 8 -3 |