Atkin-Lehner |
2- 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4464s |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-512917120917504 = -1 · 213 · 37 · 315 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -3 -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-200883,-34671886] |
[a1,a2,a3,a4,a6] |
Generators |
[529:2664:1] |
Generators of the group modulo torsion |
j |
-300238092661681/171774906 |
j-invariant |
L |
3.6179831117014 |
L(r)(E,1)/r! |
Ω |
0.11275059948968 |
Real period |
R |
4.0110464246718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
558d2 17856bq2 1488h2 111600ea2 |
Quadratic twists by: -4 8 -3 5 |