Atkin-Lehner |
2- 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078cd |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
24261120 |
Modular degree for the optimal curve |
Δ |
-1.3265308169231E+26 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-25791178,556414391255] |
[a1,a2,a3,a4,a6] |
Generators |
[-67610:3340545:8] |
Generators of the group modulo torsion |
j |
-13762702638777625/962240917575168 |
j-invariant |
L |
7.874061332856 |
L(r)(E,1)/r! |
Ω |
0.048227637477956 |
Real period |
R |
4.5352403167043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078m1 |
Quadratic twists by: 13 |