Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
100800g |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
30862944000000000 = 214 · 39 · 59 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1806300,-934362000] |
[a1,a2,a3,a4,a6] |
Generators |
[-624215535:-157230575:804357] |
Generators of the group modulo torsion |
j |
129348709488/6125 |
j-invariant |
L |
6.4480259951373 |
L(r)(E,1)/r! |
Ω |
0.13022768433023 |
Real period |
R |
12.378370290303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000596 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100800jr4 6300a4 100800h2 20160v4 |
Quadratic twists by: -4 8 -3 5 |