Atkin-Lehner |
2+ 3- 5+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bi |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
102454928816625000 = 23 · 32 · 56 · 73 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- -4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122599,5975522] |
[a1,a2,a3,a4,a6] |
j |
203788373609655952489/102454928816625000 |
j-invariant |
L |
1.7824225349403 |
L(r)(E,1)/r! |
Ω |
0.29707042249796 |
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 |
117810em4 |
Quadratic twists by: -3 |