Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hq |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-9039207968000000000 = -1 · 214 · 59 · 710 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4882033,4152814063] |
[a1,a2,a3,a4,a6] |
Generators |
[-52629:2137400:27] |
Generators of the group modulo torsion |
j |
-177953104/125 |
j-invariant |
L |
7.350130719456 |
L(r)(E,1)/r! |
Ω |
0.22903282987678 |
Real period |
R |
8.0230099762243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bz1 19600cm1 15680cn1 78400gf1 |
Quadratic twists by: -4 8 5 -7 |