Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
71568t |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
60103378944 = 211 · 310 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15458691,23394145570] |
[a1,a2,a3,a4,a6] |
j |
273643023475244876546/40257 |
j-invariant |
L |
1.7670440415474 |
L(r)(E,1)/r! |
Ω |
0.44176101311045 |
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 |
35784h4 23856k4 |
Quadratic twists by: -4 -3 |