Atkin-Lehner |
2+ 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28560bj |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-51987306470400 = -1 · 210 · 310 · 52 · 7 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8224,-192060] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-1020:1] |
Generators of the group modulo torsion |
j |
60064829854844/50768853975 |
j-invariant |
L |
5.2541761005858 |
L(r)(E,1)/r! |
Ω |
0.3488538421728 |
Real period |
R |
0.25102088923835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280f1 114240he1 85680bp1 |
Quadratic twists by: -4 8 -3 |