Atkin-Lehner |
2- 3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
14430br |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
389610000 = 24 · 34 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-310,-1900] |
[a1,a2,a3,a4,a6] |
j |
3295310559841/389610000 |
j-invariant |
L |
4.5862026737399 |
L(r)(E,1)/r! |
Ω |
1.146550668435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115440cg1 43290t1 72150d1 |
Quadratic twists by: -4 -3 5 |