Atkin-Lehner |
2- 7- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
34216c |
Isogeny class |
Conductor |
34216 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-6162747229184 = -1 · 210 · 73 · 132 · 473 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -5 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6256,222736] |
[a1,a2,a3,a4,a6] |
Generators |
[666:-4277:8] [-48:644:1] |
Generators of the group modulo torsion |
j |
-26447425002436/6018307841 |
j-invariant |
L |
9.2351002706174 |
L(r)(E,1)/r! |
Ω |
0.72065706843368 |
Real period |
R |
0.35596759444857 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68432a1 |
Quadratic twists by: -4 |