Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360eo |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.8871025941705E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22446081,-40387002975] |
[a1,a2,a3,a4,a6] |
Generators |
[-34521183:-258161904:12167] |
Generators of the group modulo torsion |
j |
4770955732122964500481/71987251059360000 |
j-invariant |
L |
5.3053030882064 |
L(r)(E,1)/r! |
Ω |
0.069424283554044 |
Real period |
R |
9.5523187633389 |
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 |
87360bx3 21840cl3 |
Quadratic twists by: -4 8 |