Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14355d |
Isogeny class |
Conductor |
14355 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
505798425 = 37 · 52 · 11 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-130095,-18028400] |
[a1,a2,a3,a4,a6] |
Generators |
[6140:477170:1] |
Generators of the group modulo torsion |
j |
334025696259022321/693825 |
j-invariant |
L |
4.9213179837372 |
L(r)(E,1)/r! |
Ω |
0.25138204035727 |
Real period |
R |
4.8942617149011 |
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 |
4785a1 71775bf1 |
Quadratic twists by: -3 5 |