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 |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
11093160960 = 210 · 32 · 5 · 72 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32781,2295405] |
[a1,a2,a3,a4,a6] |
Generators |
[101:-68:1] |
Generators of the group modulo torsion |
j |
3804552637966336/10833165 |
j-invariant |
L |
3.1044342413987 |
L(r)(E,1)/r! |
Ω |
1.1111397364929 |
Real period |
R |
0.46565314618572 |
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 |
114240do1 28560bp1 |
Quadratic twists by: -4 8 |