Atkin-Lehner |
2+ 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240g |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
77112000 = 26 · 34 · 53 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19836,-1068714] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:11583:8] |
Generators of the group modulo torsion |
j |
13487390477390656/1204875 |
j-invariant |
L |
4.7424091586841 |
L(r)(E,1)/r! |
Ω |
0.40228534111724 |
Real period |
R |
5.8943350777991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999694844 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240dm1 57120cg4 |
Quadratic twists by: -4 8 |