Atkin-Lehner |
2- 3- 7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
56826y |
Isogeny class |
Conductor |
56826 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
310195113704043876 = 22 · 312 · 72 · 116 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-285674,52376613] |
[a1,a2,a3,a4,a6] |
Generators |
[-579:5129:1] |
Generators of the group modulo torsion |
j |
3536770715983808857/425507700554244 |
j-invariant |
L |
11.53934231137 |
L(r)(E,1)/r! |
Ω |
0.29574653434163 |
Real period |
R |
3.2514729595348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999261 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18942a2 |
Quadratic twists by: -3 |