Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650q |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1.4714148755887E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57696192,-158249839784] |
[a1,a2,a3,a4,a6] |
Generators |
[-4491:103583:1] |
Generators of the group modulo torsion |
j |
1864737106103260904761/129177711985836360 |
j-invariant |
L |
3.8046437476876 |
L(r)(E,1)/r! |
Ω |
0.055017734585088 |
Real period |
R |
2.8813767781582 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bl7 6930ba7 |
Quadratic twists by: -3 5 |