Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eo |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
288089655843225600 = 234 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22364161,-40700281439] |
[a1,a2,a3,a4,a6] |
Generators |
[-22630458329688:-580481803811:8291469824] |
Generators of the group modulo torsion |
j |
4718909406724749250561/1098974822400 |
j-invariant |
L |
5.3053030882064 |
L(r)(E,1)/r! |
Ω |
0.069424283554044 |
Real period |
R |
19.104637526678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999939856 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
87360bx2 21840cl2 |
Quadratic twists by: -4 8 |