Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54600cb |
Isogeny class |
Conductor |
54600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1295526960000000 = -1 · 210 · 34 · 57 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5992,-1720512] |
[a1,a2,a3,a4,a6] |
Generators |
[184:2376:1] |
Generators of the group modulo torsion |
j |
1486779836/80970435 |
j-invariant |
L |
6.3964905248588 |
L(r)(E,1)/r! |
Ω |
0.23110122640833 |
Real period |
R |
3.4597882842565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200p3 10920g4 |
Quadratic twists by: -4 5 |