Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280ee |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-57853440000 = -1 · 212 · 36 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-228,-11648] |
[a1,a2,a3,a4,a6] |
Generators |
[44:252:1] |
Generators of the group modulo torsion |
j |
-438976/19375 |
j-invariant |
L |
4.4852317029778 |
L(r)(E,1)/r! |
Ω |
0.48729893466194 |
Real period |
R |
2.3010678806432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999903881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280ep1 44640s1 9920bd1 |
Quadratic twists by: -4 8 -3 |