Atkin-Lehner |
2+ 3- 5+ 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
122130r |
Isogeny class |
Conductor |
122130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
296775900000000 = 28 · 37 · 58 · 23 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50024565,-136170556619] |
[a1,a2,a3,a4,a6] |
j |
18990926421460667433372241/407100000000 |
j-invariant |
L |
1.8165779468068 |
L(r)(E,1)/r! |
Ω |
0.056768017025609 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40710s4 |
Quadratic twists by: -3 |