Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48672bz |
Isogeny class |
Conductor |
48672 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-65765489792790528 = -1 · 212 · 39 · 138 |
Discriminant |
Eigenvalues |
2- 3- -4 3 -2 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,52728,11424400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3380:1] |
Generators of the group modulo torsion |
j |
6656/27 |
j-invariant |
L |
4.2817651956642 |
L(r)(E,1)/r! |
Ω |
0.24859345824373 |
Real period |
R |
1.4353304741991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48672x1 97344cu1 16224l1 48672w1 |
Quadratic twists by: -4 8 -3 13 |