Atkin-Lehner |
2- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120400ck |
Isogeny class |
Conductor |
120400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-2643020800000000 = -1 · 216 · 58 · 74 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 1 -1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28208,-3082412] |
[a1,a2,a3,a4,a6] |
Generators |
[274:3136:1] |
Generators of the group modulo torsion |
j |
-1551443665/1651888 |
j-invariant |
L |
5.4438412513385 |
L(r)(E,1)/r! |
Ω |
0.17673638671832 |
Real period |
R |
1.9251274907692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044616 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15050z1 120400z1 |
Quadratic twists by: -4 5 |