Atkin-Lehner |
2+ 5+ 17+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
70550a |
Isogeny class |
Conductor |
70550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
110234375000 = 23 · 510 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-940666667,-11104334830259] |
[a1,a2,a3,a4,a6] |
Generators |
[-4142935540646004076746200008260063144765585590726835:2071466977688266945099023146913498125097467280613022:233968320545187786587640977045164297449084478017] |
Generators of the group modulo torsion |
j |
5891297453101486904618240001/7055000 |
j-invariant |
L |
3.976686972339 |
L(r)(E,1)/r! |
Ω |
0.027260926757356 |
Real period |
R |
72.937486823607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14110n3 |
Quadratic twists by: 5 |