Atkin-Lehner |
2- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14288d |
Isogeny class |
Conductor |
14288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
-5633252261888 = -1 · 227 · 19 · 472 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 6 -5 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-78384,-8421440] |
[a1,a2,a3,a4,a6] |
Generators |
[328:1024:1] |
Generators of the group modulo torsion |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
2.5193079102156 |
L(r)(E,1)/r! |
Ω |
0.14266238688534 |
Real period |
R |
2.2074037568855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1786f1 57152i1 128592o1 |
Quadratic twists by: -4 8 -3 |