Atkin-Lehner |
2+ 3- 5- 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
38130n |
Isogeny class |
Conductor |
38130 |
Conductor |
∏ cp |
640 |
Product of Tamagawa factors cp |
deg |
7372800 |
Modular degree for the optimal curve |
Δ |
1.0854936666374E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28502408,-30295152682] |
[a1,a2,a3,a4,a6] |
Generators |
[-2391:156715:1] |
Generators of the group modulo torsion |
j |
2560756877694365976414303481/1085493666637440000000000 |
j-invariant |
L |
6.4925004600491 |
L(r)(E,1)/r! |
Ω |
0.067870589532061 |
Real period |
R |
0.59787498760629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114390be1 |
Quadratic twists by: -3 |