Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200et |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-2.07920037888E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1436325,-205685750] |
[a1,a2,a3,a4,a6] |
Generators |
[199215:88918250:1] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
7.1082252065854 |
L(r)(E,1)/r! |
Ω |
0.102185974141 |
Real period |
R |
8.6952065417333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bv1 6800r1 12240cg1 |
Quadratic twists by: -4 -3 5 |