Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712cc |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
-2619526698041344 = -1 · 216 · 72 · 138 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 2 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38081,3786977] |
[a1,a2,a3,a4,a6] |
j |
-114244/49 |
j-invariant |
L |
1.7071694580806 |
L(r)(E,1)/r! |
Ω |
0.4267923740642 |
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 |
75712bj1 18928c1 75712cv1 |
Quadratic twists by: -4 8 13 |