Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bq |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-805942080000000 = -1 · 212 · 32 · 57 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11633,-1444863] |
[a1,a2,a3,a4,a6] |
Generators |
[152:525:1] |
Generators of the group modulo torsion |
j |
-2720547136/12592845 |
j-invariant |
L |
4.8290480897308 |
L(r)(E,1)/r! |
Ω |
0.20829028111561 |
Real period |
R |
2.8980277332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997891 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55200v2 110400dm1 11040h4 |
Quadratic twists by: -4 8 5 |