Atkin-Lehner |
2- 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
121040x |
Isogeny class |
Conductor |
121040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-270979006873600 = -1 · 214 · 52 · 174 · 892 |
Discriminant |
Eigenvalues |
2- -2 5- 2 0 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40,791988] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:890:1] [28:902:1] |
Generators of the group modulo torsion |
j |
-1771561/66156984100 |
j-invariant |
L |
9.2855810019498 |
L(r)(E,1)/r! |
Ω |
0.43753659516441 |
Real period |
R |
5.3056024955236 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999969857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15130f2 |
Quadratic twists by: -4 |