Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800fp |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
36578304000000 = 216 · 36 · 56 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17100,-810000] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:225:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
5.702588284771 |
L(r)(E,1)/r! |
Ω |
0.41922893735419 |
Real period |
R |
1.7003204489007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009008 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
100800lu2 12600cc2 11200n2 4032g2 |
Quadratic twists by: -4 8 -3 5 |