Atkin-Lehner |
2- 7+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
87248p |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
2661675433984 = 219 · 73 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3 -3 7+ 2 -6 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3499,-13606] |
[a1,a2,a3,a4,a6] |
j |
1156633033473/649823104 |
j-invariant |
L |
2.6708967547075 |
L(r)(E,1)/r! |
Ω |
0.66772421373383 |
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 |
10906o1 |
Quadratic twists by: -4 |