Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050h |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
252899485875000 = 23 · 316 · 56 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53551,4703498] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:3116:1] |
Generators of the group modulo torsion |
j |
1086913000972513/16185567096 |
j-invariant |
L |
3.627776709128 |
L(r)(E,1)/r! |
Ω |
0.55511405197719 |
Real period |
R |
0.40844947720728 |
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 |
56400bb3 21150bv3 282a4 |
Quadratic twists by: -4 -3 5 |