Atkin-Lehner |
2+ 3- 5- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39270bl |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
152617531058657280 = 211 · 36 · 5 · 7 · 112 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-412693,100263776] |
[a1,a2,a3,a4,a6] |
j |
7773265598236356584521/152617531058657280 |
j-invariant |
L |
1.9491667233046 |
L(r)(E,1)/r! |
Ω |
0.3248611205523 |
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 |
117810db2 |
Quadratic twists by: -3 |