Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400ji |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-5903156224000000000 = -1 · 219 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 3 5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-171500,120050000] |
[a1,a2,a3,a4,a6] |
Generators |
[-2850:316000:27] |
Generators of the group modulo torsion |
j |
-189/2 |
j-invariant |
L |
6.8893668766439 |
L(r)(E,1)/r! |
Ω |
0.20402030896024 |
Real period |
R |
4.2210055645054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400dn1 19600df1 78400jj1 78400kd1 |
Quadratic twists by: -4 8 5 -7 |