Atkin-Lehner |
2- 3+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
39060a |
Isogeny class |
Conductor |
39060 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-9268527870000 = -1 · 24 · 39 · 54 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3672,-118827] |
[a1,a2,a3,a4,a6] |
j |
17386831872/29430625 |
j-invariant |
L |
1.5343102790377 |
L(r)(E,1)/r! |
Ω |
0.38357756975809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39060b1 |
Quadratic twists by: -3 |