Atkin-Lehner |
2- 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960bx |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2439360000 = 29 · 32 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11- 6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81320,-8952900] |
[a1,a2,a3,a4,a6] |
j |
116158555210501448/4764375 |
j-invariant |
L |
4.5234495486646 |
L(r)(E,1)/r! |
Ω |
0.28271559678971 |
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 |
36960k4 73920m4 110880bh4 |
Quadratic twists by: -4 8 -3 |