Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eq |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-6444773168814489600 = -1 · 219 · 38 · 52 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37441,122185441] |
[a1,a2,a3,a4,a6] |
Generators |
[165:-10976:1] |
Generators of the group modulo torsion |
j |
-22143063655441/24584858584650 |
j-invariant |
L |
4.7814751258834 |
L(r)(E,1)/r! |
Ω |
0.19179223521985 |
Real period |
R |
0.77907793048695 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bw5 21840ck5 |
Quadratic twists by: -4 8 |