Atkin-Lehner |
2- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39760m |
Isogeny class |
Conductor |
39760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
410480967680 = 215 · 5 · 7 · 713 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 -7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2136,-21520] |
[a1,a2,a3,a4,a6] |
j |
263251475929/100215080 |
j-invariant |
L |
1.4501970929283 |
L(r)(E,1)/r! |
Ω |
0.72509854646432 |
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 |
4970c1 |
Quadratic twists by: -4 |