Atkin-Lehner |
2- 3+ 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
121800bf |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.2262132025E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8582008,-9647269988] |
[a1,a2,a3,a4,a6] |
Generators |
[84554:8314677:8] |
Generators of the group modulo torsion |
j |
4368884115257081284/13913832515625 |
j-invariant |
L |
7.3534088728325 |
L(r)(E,1)/r! |
Ω |
0.088223742499215 |
Real period |
R |
6.9457954535265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052088 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360n2 |
Quadratic twists by: 5 |