Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13050bf |
Isogeny class |
Conductor |
13050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1631415459726562500 = -1 · 22 · 310 · 510 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,290245,-12484753] |
[a1,a2,a3,a4,a6] |
Generators |
[315:10336:1] |
Generators of the group modulo torsion |
j |
237395127814559/143224402500 |
j-invariant |
L |
6.3659548552122 |
L(r)(E,1)/r! |
Ω |
0.15501554763451 |
Real period |
R |
5.133319651121 |
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 |
104400ec3 4350n4 2610c4 |
Quadratic twists by: -4 -3 5 |