Atkin-Lehner |
2- 3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210x |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
642783820644000000 = 28 · 38 · 56 · 74 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3299470,-2307875893] |
[a1,a2,a3,a4,a6] |
Generators |
[-1053:1051:1] |
Generators of the group modulo torsion |
j |
3972430175238238355520481/642783820644000000 |
j-invariant |
L |
7.0964766337462 |
L(r)(E,1)/r! |
Ω |
0.11201926656975 |
Real period |
R |
1.3198020994986 |
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 |
63630m2 106050n2 |
Quadratic twists by: -3 5 |