Atkin-Lehner |
2+ 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280n |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-16735116639360000 = -1 · 210 · 3 · 54 · 73 · 714 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20056,6312644] |
[a1,a2,a3,a4,a6] |
j |
-871321383227236/16342887343125 |
j-invariant |
L |
3.9459273939097 |
L(r)(E,1)/r! |
Ω |
0.32882736292721 |
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 |
59640a3 |
Quadratic twists by: -4 |