Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
46746be |
Isogeny class |
Conductor |
46746 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-145459341216 = -1 · 25 · 36 · 76 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -5 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12137,-511927] |
[a1,a2,a3,a4,a6] |
j |
-2305199161/1696 |
j-invariant |
L |
4.5483654279262 |
L(r)(E,1)/r! |
Ω |
0.22741827139975 |
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 |
5194i1 954i1 |
Quadratic twists by: -3 -7 |