Atkin-Lehner |
2- 3- 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14268c |
Isogeny class |
Conductor |
14268 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-21059568 = -1 · 24 · 33 · 29 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 -3 -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-93418,10958825] |
[a1,a2,a3,a4,a6] |
Generators |
[32:2829:1] |
Generators of the group modulo torsion |
j |
-5635079843220832000/1316223 |
j-invariant |
L |
5.4111954733643 |
L(r)(E,1)/r! |
Ω |
1.26410951421 |
Real period |
R |
2.140319099151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57072l1 42804h1 |
Quadratic twists by: -4 -3 |