Atkin-Lehner |
2- 3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
47124d |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3253197482167248 = 24 · 39 · 73 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-40500,1520181] |
[a1,a2,a3,a4,a6] |
j |
23328000000000/10329972191 |
j-invariant |
L |
1.2075107269247 |
L(r)(E,1)/r! |
Ω |
0.40250357562192 |
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 |
47124f1 |
Quadratic twists by: -3 |