Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560v |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-44543416320 = -1 · 211 · 39 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 1 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,573,-8674] |
[a1,a2,a3,a4,a6] |
Generators |
[41030:260424:1331] |
Generators of the group modulo torsion |
j |
13935742/29835 |
j-invariant |
L |
8.9483003681957 |
L(r)(E,1)/r! |
Ω |
0.59152844579683 |
Real period |
R |
7.5637109521472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26520m1 |
Quadratic twists by: -3 |