Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38720a |
Isogeny class |
Conductor |
38720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-3.9559797728608E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 11+ 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1510241,-776315905] |
[a1,a2,a3,a4,a6] |
Generators |
[168888415374351686:-4915394414127684839:90150420161719] |
Generators of the group modulo torsion |
j |
-616295051/64000 |
j-invariant |
L |
6.9555292199322 |
L(r)(E,1)/r! |
Ω |
0.067696170941571 |
Real period |
R |
25.686568099751 |
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 |
38720br1 1210d1 38720b1 |
Quadratic twists by: -4 8 -11 |