Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
86640bw |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8581168694400000000 = 213 · 3 · 58 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3587016,-2609861520] |
[a1,a2,a3,a4,a6] |
Generators |
[-13582834:-17283750:12167] |
Generators of the group modulo torsion |
j |
26487576322129/44531250 |
j-invariant |
L |
3.7393300352831 |
L(r)(E,1)/r! |
Ω |
0.1097135003735 |
Real period |
R |
8.5206697907114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10830l3 4560x3 |
Quadratic twists by: -4 -19 |