Atkin-Lehner |
2- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
59360g |
Isogeny class |
Conductor |
59360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55040 |
Modular degree for the optimal curve |
Δ |
-402698240 = -1 · 212 · 5 · 7 · 532 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 3 5 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-712,-7376] |
[a1,a2,a3,a4,a6] |
j |
-9745491456/98315 |
j-invariant |
L |
1.8473463988603 |
L(r)(E,1)/r! |
Ω |
0.46183659968025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59360e1 118720a1 |
Quadratic twists by: -4 8 |