Atkin-Lehner |
2- 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502z |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-18907411068 = -1 · 22 · 39 · 72 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,565,-4265] |
[a1,a2,a3,a4,a6] |
Generators |
[871:25268:1] |
Generators of the group modulo torsion |
j |
1015075125/960596 |
j-invariant |
L |
10.192930387775 |
L(r)(E,1)/r! |
Ω |
0.66797329405745 |
Real period |
R |
3.8148719711004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47502c1 |
Quadratic twists by: -3 |