Atkin-Lehner |
2+ 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270t |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
340593309302400 = 27 · 314 · 52 · 7 · 11 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48692,4018896] |
[a1,a2,a3,a4,a6] |
j |
12767635874606888521/340593309302400 |
j-invariant |
L |
1.0771041760874 |
L(r)(E,1)/r! |
Ω |
0.53855208800388 |
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 |
117810cy2 |
Quadratic twists by: -3 |