Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55545z |
Isogeny class |
Conductor |
55545 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-3444657890625 = -1 · 35 · 57 · 73 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -5 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,955,88650] |
[a1,a2,a3,a4,a6] |
Generators |
[115:1255:1] |
Generators of the group modulo torsion |
j |
182074754111/6511640625 |
j-invariant |
L |
4.5654200284338 |
L(r)(E,1)/r! |
Ω |
0.5984095984228 |
Real period |
R |
0.072659581097446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55545i1 |
Quadratic twists by: -23 |