Atkin-Lehner |
3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
52185k |
Isogeny class |
Conductor |
52185 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4662192733734375 = -1 · 36 · 56 · 78 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 0 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51574,5573747] |
[a1,a2,a3,a4,a6] |
j |
-128948357570761/39627984375 |
j-invariant |
L |
2.4664605402238 |
L(r)(E,1)/r! |
Ω |
0.41107675696811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7455c1 |
Quadratic twists by: -7 |