Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800bc |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
4025000000 = 26 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1258,16488] |
[a1,a2,a3,a4,a6] |
Generators |
[13:50:1] |
Generators of the group modulo torsion |
j |
220348864/4025 |
j-invariant |
L |
4.048379073172 |
L(r)(E,1)/r! |
Ω |
1.391704371589 |
Real period |
R |
1.4544680614694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998868802 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800c1 25760c1 |
Quadratic twists by: -4 5 |