Atkin-Lehner |
3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529a |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864864 |
Modular degree for the optimal curve |
Δ |
-2.1457622835079E+19 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 0 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,0,222868623] |
[a1,a2,a3,a4,a6] |
Generators |
[65901883:2282827265:68921] |
Generators of the group modulo torsion |
j |
0 |
j-invariant |
L |
4.8344278336576 |
L(r)(E,1)/r! |
Ω |
0.17083788520672 |
Real period |
R |
14.149167873826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992944 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74529a2 74529e1 74529b1 |
Quadratic twists by: -3 -7 13 |