Atkin-Lehner |
2+ 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
14430q |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
37040006250000 = 24 · 32 · 58 · 13 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16219,-740458] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:197:1] |
Generators of the group modulo torsion |
j |
471799461853344169/37040006250000 |
j-invariant |
L |
3.6822713321082 |
L(r)(E,1)/r! |
Ω |
0.42516008238778 |
Real period |
R |
1.4434842641811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440bj1 43290by1 72150bx1 |
Quadratic twists by: -4 -3 5 |