Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560n |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
-1.22909017275E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3599520,-3124395900] |
[a1,a2,a3,a4,a6] |
Generators |
[2478:56376:1] |
Generators of the group modulo torsion |
j |
-5036834128833522529924/1200283371826171875 |
j-invariant |
L |
8.8292708152269 |
L(r)(E,1)/r! |
Ω |
0.05412119275872 |
Real period |
R |
2.2658177893669 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990323 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38280h3 |
Quadratic twists by: -4 |