Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
70560cr |
Isogeny class |
Conductor |
70560 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1245197016000000 = -1 · 29 · 33 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 -2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41307,3650206] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-1470:1] [-103:2610:1] |
Generators of the group modulo torsion |
j |
-4792616856/765625 |
j-invariant |
L |
10.96074243221 |
L(r)(E,1)/r! |
Ω |
0.46759726999108 |
Real period |
R |
0.97669005071828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999734 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70560cq2 70560g2 10080bg2 |
Quadratic twists by: -4 -3 -7 |