Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
5200b |
Isogeny class |
Conductor |
5200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-67600000000 = -1 · 210 · 58 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 -2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,12512] |
[a1,a2,a3,a4,a6] |
Generators |
[22:150:1] |
Generators of the group modulo torsion |
j |
-4/4225 |
j-invariant |
L |
5.1453434462321 |
L(r)(E,1)/r! |
Ω |
0.87446339529278 |
Real period |
R |
1.4710002368108 |
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 |
2600a2 20800dg2 46800m2 1040b2 |
Quadratic twists by: -4 8 -3 5 |