Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1128g |
Isogeny class |
Conductor |
1128 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
1056 |
Modular degree for the optimal curve |
Δ |
2131432704 = 28 · 311 · 47 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 5 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4577,117651] |
[a1,a2,a3,a4,a6] |
Generators |
[37:18:1] |
Generators of the group modulo torsion |
j |
41430613746688/8325909 |
j-invariant |
L |
2.5793567016032 |
L(r)(E,1)/r! |
Ω |
1.4244801842871 |
Real period |
R |
0.082306154715087 |
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 |
2256c1 9024g1 3384f1 28200b1 |
Quadratic twists by: -4 8 -3 5 |