Atkin-Lehner |
2+ 3- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502h |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
1887953718083706 = 2 · 311 · 75 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -1 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68643,6616147] |
[a1,a2,a3,a4,a6] |
j |
49066887527994673/2589785621514 |
j-invariant |
L |
0.92392297753947 |
L(r)(E,1)/r! |
Ω |
0.46196148892628 |
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 |
15834l1 |
Quadratic twists by: -3 |