Atkin-Lehner |
2+ 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
68080g |
Isogeny class |
Conductor |
68080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-55175299840000 = -1 · 211 · 54 · 23 · 374 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -4 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10427,543754] |
[a1,a2,a3,a4,a6] |
Generators |
[103:750:1] |
Generators of the group modulo torsion |
j |
-61216977122082/26941064375 |
j-invariant |
L |
3.0075187116124 |
L(r)(E,1)/r! |
Ω |
0.5882501054504 |
Real period |
R |
2.5563265387118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989581 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34040g3 |
Quadratic twists by: -4 |