Atkin-Lehner |
2+ 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640r |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1067231476115481600 = 210 · 34 · 52 · 74 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7826320,8429686300] |
[a1,a2,a3,a4,a6] |
j |
29224056825643684/588305025 |
j-invariant |
L |
2.0366150005624 |
L(r)(E,1)/r! |
Ω |
0.25457688666756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240u3 |
Quadratic twists by: -11 |