Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600t |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2628000000000 = -1 · 211 · 32 · 59 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8008,283988] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:750:1] |
Generators of the group modulo torsion |
j |
-1775007362/82125 |
j-invariant |
L |
9.7231864132534 |
L(r)(E,1)/r! |
Ω |
0.80221851661726 |
Real period |
R |
0.75752321636962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999981761 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43800f1 17520c1 |
Quadratic twists by: -4 5 |