Atkin-Lehner |
2- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52052b |
Isogeny class |
Conductor |
52052 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
48773973248 = 28 · 7 · 115 · 132 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 11- 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1664,-23868] |
[a1,a2,a3,a4,a6] |
Generators |
[56:242:1] |
Generators of the group modulo torsion |
j |
11777605632/1127357 |
j-invariant |
L |
6.4203374597567 |
L(r)(E,1)/r! |
Ω |
0.75209388580367 |
Real period |
R |
0.56910780076165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52052f1 |
Quadratic twists by: 13 |