Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23688p |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-3980332161792 = -1 · 28 · 39 · 75 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -5 -6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5724,-192348] |
[a1,a2,a3,a4,a6] |
Generators |
[96:378:1] |
Generators of the group modulo torsion |
j |
-4116151296/789929 |
j-invariant |
L |
5.7137103833817 |
L(r)(E,1)/r! |
Ω |
0.27161887159123 |
Real period |
R |
1.0517881820783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47376c1 23688b1 |
Quadratic twists by: -4 -3 |