Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088c |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2665550592 = -1 · 28 · 39 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 1 2 1 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,276,1748] |
[a1,a2,a3,a4,a6] |
Generators |
[4:-54:1] |
Generators of the group modulo torsion |
j |
23552/27 |
j-invariant |
L |
7.4691324822686 |
L(r)(E,1)/r! |
Ω |
0.95901441165788 |
Real period |
R |
0.48677139203241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176h1 12696m1 38088j1 |
Quadratic twists by: -4 -3 -23 |