Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cj |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
23003136 |
Modular degree for the optimal curve |
Δ |
-2.1764337537139E+24 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 13+ -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-65376724,215459970773] |
[a1,a2,a3,a4,a6] |
Generators |
[16193:1836669:1] |
Generators of the group modulo torsion |
j |
-37883173893317903137/2668078690288704 |
j-invariant |
L |
11.274358895732 |
L(r)(E,1)/r! |
Ω |
0.080886957613949 |
Real period |
R |
1.4519181082458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078h1 |
Quadratic twists by: 13 |