Atkin-Lehner |
2- 3+ 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
38940i |
Isogeny class |
Conductor |
38940 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4080384 |
Modular degree for the optimal curve |
Δ |
-1.5240258067983E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6680860,-59024771928] |
[a1,a2,a3,a4,a6] |
Generators |
[3802:146014:1] |
Generators of the group modulo torsion |
j |
128819258487503399528624/5953225807805890713165 |
j-invariant |
L |
5.6508241211966 |
L(r)(E,1)/r! |
Ω |
0.040638200374309 |
Real period |
R |
5.7938344434848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116820e1 |
Quadratic twists by: -3 |