Atkin-Lehner |
2+ 3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
7050h |
Isogeny class |
Conductor |
7050 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
14493249000000 = 26 · 38 · 56 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6551,-90502] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:361:1] |
Generators of the group modulo torsion |
j |
1989441544033/927567936 |
j-invariant |
L |
3.627776709128 |
L(r)(E,1)/r! |
Ω |
0.55511405197719 |
Real period |
R |
0.81689895441456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
56400bb2 21150bv2 282a2 |
Quadratic twists by: -4 -3 5 |