Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078dg |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
2080 |
Product of Tamagawa factors cp |
deg |
7987200 |
Modular degree for the optimal curve |
Δ |
-5.3358128718488E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-283163,11113821393] |
[a1,a2,a3,a4,a6] |
Generators |
[-866:-103055:1] |
Generators of the group modulo torsion |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
13.542704771007 |
L(r)(E,1)/r! |
Ω |
0.089565266050342 |
Real period |
R |
0.29077860388671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
462d1 |
Quadratic twists by: 13 |