Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
69440w |
Isogeny class |
Conductor |
69440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-637114777600 = -1 · 224 · 52 · 72 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 0 -2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-161,-38465] |
[a1,a2,a3,a4,a6] |
Generators |
[42:175:1] |
Generators of the group modulo torsion |
j |
-1771561/2430400 |
j-invariant |
L |
3.987895337941 |
L(r)(E,1)/r! |
Ω |
0.41204668216585 |
Real period |
R |
2.4195652521365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69440cg1 2170g1 |
Quadratic twists by: -4 8 |