Atkin-Lehner |
2- 5- 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
86480f |
Isogeny class |
Conductor |
86480 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
20856596070400000 = 228 · 55 · 232 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- -1 1 -5 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1105680,-447076928] |
[a1,a2,a3,a4,a6] |
Generators |
[-606:230:1] |
Generators of the group modulo torsion |
j |
36496609335874699921/5091942400000 |
j-invariant |
L |
4.1185440950878 |
L(r)(E,1)/r! |
Ω |
0.14722982446404 |
Real period |
R |
1.3986785995442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810f1 |
Quadratic twists by: -4 |