Atkin-Lehner |
2+ 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121040a |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-172360960000 = -1 · 211 · 54 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,-19980] |
[a1,a2,a3,a4,a6] |
Generators |
[52:350:1] |
Generators of the group modulo torsion |
j |
-235298/84160625 |
j-invariant |
L |
3.6492476548583 |
L(r)(E,1)/r! |
Ω |
0.46518958449465 |
Real period |
R |
1.961161540674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999066279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60520e2 |
Quadratic twists by: -4 |