Atkin-Lehner |
2+ 3- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
11928c |
Isogeny class |
Conductor |
11928 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
-2200401482496 = -1 · 28 · 3 · 79 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ -3 1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2828,42704] |
[a1,a2,a3,a4,a6] |
j |
9767161833392/8595318291 |
j-invariant |
L |
1.0705671346448 |
L(r)(E,1)/r! |
Ω |
0.53528356732242 |
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 |
23856f1 95424d1 35784s1 83496a1 |
Quadratic twists by: -4 8 -3 -7 |