Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
930n |
Isogeny class |
Conductor |
930 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-47925198774000 = -1 · 24 · 33 · 53 · 316 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-39651,-3060495] |
[a1,a2,a3,a4,a6] |
j |
-6894246873502147249/47925198774000 |
j-invariant |
L |
3.0436739229085 |
L(r)(E,1)/r! |
Ω |
0.16909299571714 |
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 |
7440i3 29760s3 2790l3 4650f3 |
Quadratic twists by: -4 8 -3 5 |