Atkin-Lehner |
2+ 3+ 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502b |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
21898041984 = 27 · 33 · 75 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 1 13- 8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39249,3002717] |
[a1,a2,a3,a4,a6] |
j |
247657771342393803/811038592 |
j-invariant |
L |
2.1093559787235 |
L(r)(E,1)/r! |
Ω |
1.0546779895512 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47502bb1 |
Quadratic twists by: -3 |