Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
74400p |
Isogeny class |
Conductor |
74400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-360375000000 = -1 · 26 · 3 · 59 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2458,55912] |
[a1,a2,a3,a4,a6] |
j |
-13144256/2883 |
j-invariant |
L |
1.8279812776414 |
L(r)(E,1)/r! |
Ω |
0.91399063852036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
74400cy1 74400cv1 |
Quadratic twists by: -4 5 |