Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
113600p |
Isogeny class |
Conductor |
113600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
2.863288E+20 |
Discriminant |
Eigenvalues |
2+ 3 5+ 1 2 1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1686700,219326000] |
[a1,a2,a3,a4,a6] |
Generators |
[170213010:1718104400:132651] |
Generators of the group modulo torsion |
j |
259123794463602/139808984375 |
j-invariant |
L |
14.300090060001 |
L(r)(E,1)/r! |
Ω |
0.15134403423473 |
Real period |
R |
11.810913222866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013176 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113600cp1 14200d1 22720e1 |
Quadratic twists by: -4 8 5 |