Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432bn |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-1491569664 = -1 · 210 · 3 · 134 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157,-1955] |
[a1,a2,a3,a4,a6] |
Generators |
[961884:-5946305:21952] |
Generators of the group modulo torsion |
j |
-420616192/1456611 |
j-invariant |
L |
6.5789274747316 |
L(r)(E,1)/r! |
Ω |
0.61911158667617 |
Real period |
R |
10.626400177792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432t1 10608l1 127296ci1 |
Quadratic twists by: -4 8 -3 |