Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384ds |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.5149142577144E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1335756,521267600] |
[a1,a2,a3,a4,a6] |
Generators |
[-302:29952:1] |
Generators of the group modulo torsion |
j |
1379233073341297/183927761424 |
j-invariant |
L |
5.3324006618204 |
L(r)(E,1)/r! |
Ω |
0.19872521315012 |
Real period |
R |
3.3541293753451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115205 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120384s2 30096w2 40128bi2 |
Quadratic twists by: -4 8 -3 |