Atkin-Lehner |
2- 3+ 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
14430bg |
Isogeny class |
Conductor |
14430 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
7092633600 = 216 · 32 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2340,42405] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:305:1] |
Generators of the group modulo torsion |
j |
1417042526852161/7092633600 |
j-invariant |
L |
5.7975912285865 |
L(r)(E,1)/r! |
Ω |
1.333372041262 |
Real period |
R |
1.0870167982334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
115440dj1 43290s1 72150z1 |
Quadratic twists by: -4 -3 5 |