Atkin-Lehner |
2+ 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152j |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-53407121408 = -1 · 220 · 312 · 53 |
Discriminant |
Eigenvalues |
2+ -1 -2 4 2 -1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-769,-13567] |
[a1,a2,a3,a4,a6] |
j |
-192100033/203732 |
j-invariant |
L |
1.7398065119692 |
L(r)(E,1)/r! |
Ω |
0.43495163955022 |
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 |
105152n1 3286d1 |
Quadratic twists by: -4 8 |