Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fl |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
207621713510400 = 214 · 3 · 52 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33201,2234001] |
[a1,a2,a3,a4,a6] |
Generators |
[80:289:1] |
Generators of the group modulo torsion |
j |
247041745675216/12672223725 |
j-invariant |
L |
3.1044342413987 |
L(r)(E,1)/r! |
Ω |
0.55556986824647 |
Real period |
R |
0.93130629237144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998598755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240do2 28560bp2 |
Quadratic twists by: -4 8 |