Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400je |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-4117715000000 = -1 · 26 · 57 · 77 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- -3 -1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2450,85750] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1225:1] |
Generators of the group modulo torsion |
j |
13824/35 |
j-invariant |
L |
3.0900383793875 |
L(r)(E,1)/r! |
Ω |
0.54566256382969 |
Real period |
R |
1.4157276780062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004937 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400iz1 39200r1 15680dv1 11200ce1 |
Quadratic twists by: -4 8 5 -7 |