Atkin-Lehner |
2+ 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57528c |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
204800 |
Modular degree for the optimal curve |
Δ |
-149684124503808 = -1 · 28 · 316 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 6 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49431,4270826] |
[a1,a2,a3,a4,a6] |
j |
-71573854773328/802062567 |
j-invariant |
L |
2.3236674020602 |
L(r)(E,1)/r! |
Ω |
0.58091685013088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056h1 19176d1 |
Quadratic twists by: -4 -3 |