Atkin-Lehner |
2- 3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11130bc |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
1600 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
2.6399147083842E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10875381,-13783068639] |
[a1,a2,a3,a4,a6] |
Generators |
[-1860:4269:1] |
Generators of the group modulo torsion |
j |
142251598903441575328271569/263991470838423552000 |
j-invariant |
L |
7.6827390862632 |
L(r)(E,1)/r! |
Ω |
0.083145136228301 |
Real period |
R |
0.23100386368867 |
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 |
89040bg1 33390t1 55650d1 77910cb1 |
Quadratic twists by: -4 -3 5 -7 |