Atkin-Lehner |
2+ 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4446a |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1212960 |
Modular degree for the optimal curve |
Δ |
-3.4249416609424E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -2 5 3 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20423328,-95860182016] |
[a1,a2,a3,a4,a6] |
Generators |
[10248439985492462143878101189:-1579805052176823590641910159923:416636674961141135255903] |
Generators of the group modulo torsion |
j |
-47864328251166811289619/174005063300429643776 |
j-invariant |
L |
2.9189712462836 |
L(r)(E,1)/r! |
Ω |
0.03254539504352 |
Real period |
R |
44.844612308137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568bd1 4446k1 111150dd1 57798bc1 |
Quadratic twists by: -4 -3 5 13 |