Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
3036j |
Isogeny class |
Conductor |
3036 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
3981871872 = 28 · 35 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 0 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1380,19044] |
[a1,a2,a3,a4,a6] |
Generators |
[0:138:1] |
Generators of the group modulo torsion |
j |
1136150003536/15554187 |
j-invariant |
L |
3.2200535689855 |
L(r)(E,1)/r! |
Ω |
1.395909906215 |
Real period |
R |
0.15378516691986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12144r2 48576n2 9108j2 75900h2 |
Quadratic twists by: -4 8 -3 5 |