Atkin-Lehner |
2- 3+ 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518s |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
21603456 = 27 · 33 · 7 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -2 1 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-86,229] |
[a1,a2,a3,a4,a6] |
Generators |
[1:11:1] |
Generators of the group modulo torsion |
j |
2576987811/800128 |
j-invariant |
L |
13.628707574481 |
L(r)(E,1)/r! |
Ω |
1.9900036530618 |
Real period |
R |
0.48918458402241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112518b1 |
Quadratic twists by: -3 |