Atkin-Lehner |
2- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
59200do |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-22429696000 = -1 · 217 · 53 · 372 |
Discriminant |
Eigenvalues |
2- 2 5- 4 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,607,-4543] |
[a1,a2,a3,a4,a6] |
Generators |
[64185:392392:3375] |
Generators of the group modulo torsion |
j |
1507142/1369 |
j-invariant |
L |
10.988284051793 |
L(r)(E,1)/r! |
Ω |
0.66089078408914 |
Real period |
R |
8.3132374639676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000029 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200bq2 14800j2 59200dy2 |
Quadratic twists by: -4 8 5 |