Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400bv |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-784753920000 = -1 · 211 · 36 · 54 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 5 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1875,52850] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:290:1] |
Generators of the group modulo torsion |
j |
-781250/841 |
j-invariant |
L |
7.6499849079937 |
L(r)(E,1)/r! |
Ω |
0.81400044125315 |
Real period |
R |
0.78316756324456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004339 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52200z1 11600n1 104400n1 |
Quadratic twists by: -4 -3 5 |