Atkin-Lehner |
2- 3+ 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
42480y |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
779333224366080000 = 230 · 39 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-258147,-27286686] |
[a1,a2,a3,a4,a6] |
j |
23597919687987/9666560000 |
j-invariant |
L |
1.7564006054838 |
L(r)(E,1)/r! |
Ω |
0.2195500757007 |
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 |
5310b1 42480o1 |
Quadratic twists by: -4 -3 |