Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15040be |
Isogeny class |
Conductor |
15040 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
23500000000000000 = 214 · 515 · 47 |
Discriminant |
Eigenvalues |
2- 1 5- 1 3 7 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126065,15527663] |
[a1,a2,a3,a4,a6] |
Generators |
[-79:5000:1] |
Generators of the group modulo torsion |
j |
13523552840818384/1434326171875 |
j-invariant |
L |
6.6635755422908 |
L(r)(E,1)/r! |
Ω |
0.36811862395481 |
Real period |
R |
0.60339023969157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15040s2 3760f2 75200cx2 |
Quadratic twists by: -4 8 5 |