Atkin-Lehner |
2- 5- 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
86480n |
Isogeny class |
Conductor |
86480 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-206965054013440 = -1 · 215 · 5 · 233 · 473 |
Discriminant |
Eigenvalues |
2- 2 5- -2 3 -4 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2880,688640] |
[a1,a2,a3,a4,a6] |
Generators |
[722:19458:1] |
Generators of the group modulo torsion |
j |
644748621119/50528577640 |
j-invariant |
L |
10.150849071332 |
L(r)(E,1)/r! |
Ω |
0.43040398306104 |
Real period |
R |
1.3102482357125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810e2 |
Quadratic twists by: -4 |