Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120dd |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.3753806837784E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- 4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-184941603,-1007603259102] |
[a1,a2,a3,a4,a6] |
Generators |
[6366297882189267529808821:-133012361558242961732656250:398665342698169676779] |
Generators of the group modulo torsion |
j |
-4898016158612283/236328125000 |
j-invariant |
L |
5.9085892964297 |
L(r)(E,1)/r! |
Ω |
0.020412225417871 |
Real period |
R |
36.18290740109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890e4 87120dq2 7920u4 |
Quadratic twists by: -4 -3 -11 |