Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ck |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
2916048114000000000 = 210 · 36 · 59 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44258485,-113314707275] |
[a1,a2,a3,a4,a6] |
j |
9362964919254624808075264/2847703236328125 |
j-invariant |
L |
3.160778653611 |
L(r)(E,1)/r! |
Ω |
0.058532951781838 |
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 |
114240ka3 7140j3 |
Quadratic twists by: -4 8 |