Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15288v |
Isogeny class |
Conductor |
15288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4698430464 = 210 · 3 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40784,3183804] |
[a1,a2,a3,a4,a6] |
Generators |
[118:20:1] |
Generators of the group modulo torsion |
j |
62275269892/39 |
j-invariant |
L |
3.3054201965184 |
L(r)(E,1)/r! |
Ω |
1.1330610410295 |
Real period |
R |
1.4586240620873 |
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 |
30576w4 122304ed4 45864k4 312c3 |
Quadratic twists by: -4 8 -3 -7 |