Atkin-Lehner |
2+ 3+ 7- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
65142b |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-1139724432 = -1 · 24 · 39 · 7 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ 2 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-582,-5500] |
[a1,a2,a3,a4,a6] |
j |
-1108717875/57904 |
j-invariant |
L |
1.9379645134392 |
L(r)(E,1)/r! |
Ω |
0.48449112678302 |
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 |
65142t1 |
Quadratic twists by: -3 |