Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
111328bb |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1558592 = 26 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-161,784] |
[a1,a2,a3,a4,a6] |
Generators |
[0:28:1] [16:48:1] |
Generators of the group modulo torsion |
j |
21024576/71 |
j-invariant |
L |
9.8020405725674 |
L(r)(E,1)/r! |
Ω |
2.6874118057813 |
Real period |
R |
3.647390605355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111328w1 111328ba1 |
Quadratic twists by: -4 -7 |