Atkin-Lehner |
3- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
57717n |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-4828513321669851 = -1 · 36 · 119 · 532 |
Discriminant |
Eigenvalues |
-2 3- 1 2 11+ 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3993,3341808] |
[a1,a2,a3,a4,a6] |
j |
4096/2809 |
j-invariant |
L |
1.3508402316554 |
L(r)(E,1)/r! |
Ω |
0.33771005725916 |
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 |
6413e1 57717m1 |
Quadratic twists by: -3 -11 |