Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121968fe |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4542962149490688 = 217 · 312 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ -6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264099,52138658] |
[a1,a2,a3,a4,a6] |
Generators |
[-281:10206:1] [-239:10080:1] |
Generators of the group modulo torsion |
j |
512576216027/1143072 |
j-invariant |
L |
13.773487109831 |
L(r)(E,1)/r! |
Ω |
0.43618865222315 |
Real period |
R |
1.973556487866 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999998094 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15246f2 40656bp2 121968dk2 |
Quadratic twists by: -4 -3 -11 |