Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352cd |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-112438313199894528 = -1 · 215 · 314 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98796,20078224] |
[a1,a2,a3,a4,a6] |
Generators |
[96:3388:1] |
Generators of the group modulo torsion |
j |
-4464412682696/4706920449 |
j-invariant |
L |
4.5443315175597 |
L(r)(E,1)/r! |
Ω |
0.30285988957547 |
Real period |
R |
1.8755915168955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999878 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352bp3 22176i2 14784bl4 |
Quadratic twists by: -4 8 -3 |