Atkin-Lehner |
2+ 3- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958y |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
353280 |
Modular degree for the optimal curve |
Δ |
-3258989963454096 = -1 · 24 · 32 · 172 · 238 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 0 5 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36248,3817910] |
[a1,a2,a3,a4,a6] |
j |
-67256761/41616 |
j-invariant |
L |
3.3127187101997 |
L(r)(E,1)/r! |
Ω |
0.41408983885774 |
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 |
53958r1 |
Quadratic twists by: -23 |