Atkin-Lehner |
2+ 3+ 5- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270l |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-3241437293445120 = -1 · 220 · 34 · 5 · 74 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10098,2715444] |
[a1,a2,a3,a4,a6] |
j |
113857753216578839/3241437293445120 |
j-invariant |
L |
1.3473829317781 |
L(r)(E,1)/r! |
Ω |
0.33684573293367 |
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 |
117810dh1 |
Quadratic twists by: -3 |