Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960co |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
369778133238528000 = 211 · 3 · 53 · 78 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38420720,-91650674100] |
[a1,a2,a3,a4,a6] |
j |
26031669916232627138/1534698375 |
j-invariant |
L |
1.4553564255523 |
L(r)(E,1)/r! |
Ω |
0.060639858673583 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bv4 |
Quadratic twists by: -7 |