Atkin-Lehner |
2- 3- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
120600bu |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
-953964843750000 = -1 · 24 · 36 · 513 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18075,1755875] |
[a1,a2,a3,a4,a6] |
Generators |
[230:-3125:1] [65:925:1] |
Generators of the group modulo torsion |
j |
-3583365376/5234375 |
j-invariant |
L |
11.89155137795 |
L(r)(E,1)/r! |
Ω |
0.44588172494478 |
Real period |
R |
3.333717978287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13400e1 24120d1 |
Quadratic twists by: -3 5 |