Atkin-Lehner |
2- 23+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
37168d |
Isogeny class |
Conductor |
37168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-1050514159088 = -1 · 24 · 235 · 1012 |
Discriminant |
Eigenvalues |
2- 1 0 -2 2 -1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2342,23791] |
[a1,a2,a3,a4,a6] |
j |
88752164000000/65657134943 |
j-invariant |
L |
1.1158639546355 |
L(r)(E,1)/r! |
Ω |
0.55793197731021 |
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 |
9292b1 |
Quadratic twists by: -4 |