Atkin-Lehner |
2+ 3- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
46368m |
Isogeny class |
Conductor |
46368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-1831818493145088 = -1 · 212 · 37 · 75 · 233 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 3 -4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-2059216] |
[a1,a2,a3,a4,a6] |
j |
-12487168/613472307 |
j-invariant |
L |
0.8574785864432 |
L(r)(E,1)/r! |
Ω |
0.21436964663025 |
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 |
46368ba1 92736dw1 15456j1 |
Quadratic twists by: -4 8 -3 |