Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078ck |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
6652800 |
Modular degree for the optimal curve |
Δ |
4.1422367286296E+20 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11+ 13+ 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9768119,11705780549] |
[a1,a2,a3,a4,a6] |
Generators |
[-2123:152324:1] |
Generators of the group modulo torsion |
j |
3608968828289403386977/14503122189803016 |
j-invariant |
L |
11.826001331257 |
L(r)(E,1)/r! |
Ω |
0.16886843002614 |
Real period |
R |
1.6674014215423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78078i1 |
Quadratic twists by: 13 |