Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328w |
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 |
[25:104:1] |
Generators of the group modulo torsion |
j |
21024576/71 |
j-invariant |
L |
4.1947721421716 |
L(r)(E,1)/r! |
Ω |
1.3405446110379 |
Real period |
R |
3.1291551983751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111328bb1 111328v1 |
Quadratic twists by: -4 -7 |