Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ck |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-2.0813974978272E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 1 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21328083,-38542114926] |
[a1,a2,a3,a4,a6] |
Generators |
[1441919731725771:17202145795092882:266716895453] |
Generators of the group modulo torsion |
j |
-47113735347/913952 |
j-invariant |
L |
6.0715544729801 |
L(r)(E,1)/r! |
Ω |
0.035085866762715 |
Real period |
R |
21.631054870476 |
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 |
11466c1 91728ci1 91728ce1 |
Quadratic twists by: -4 -3 -7 |