Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
128800q |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-21647416000 = -1 · 26 · 53 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-418,-7668] |
[a1,a2,a3,a4,a6] |
Generators |
[5082396:59506622:35937] |
Generators of the group modulo torsion |
j |
-1012048064/2705927 |
j-invariant |
L |
11.46475482161 |
L(r)(E,1)/r! |
Ω |
0.49028600573516 |
Real period |
R |
11.691905032136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800s1 128800bi1 |
Quadratic twists by: -4 5 |