Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32448dg |
Isogeny class |
Conductor |
32448 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-3.9907473509818E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-670817,-370492641] |
[a1,a2,a3,a4,a6] |
Generators |
[1045:8412:1] |
Generators of the group modulo torsion |
j |
-156116857/186624 |
j-invariant |
L |
5.5143246673923 |
L(r)(E,1)/r! |
Ω |
0.079759160099137 |
Real period |
R |
5.7614329820534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32448k1 8112u1 97344ft1 32448dc1 |
Quadratic twists by: -4 8 -3 13 |