Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
121380m |
Isogeny class |
Conductor |
121380 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
1.0997861337343E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3197675565,-69597388794150] |
[a1,a2,a3,a4,a6] |
Generators |
[-1694342514790:-220215760250:51895117] |
Generators of the group modulo torsion |
j |
9362964919254624808075264/2847703236328125 |
j-invariant |
L |
4.7670082332783 |
L(r)(E,1)/r! |
Ω |
0.0200766368296 |
Real period |
R |
13.191143102261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000049325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7140j3 |
Quadratic twists by: 17 |