Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960q |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
726624000000 = 211 · 33 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2360,-17100] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:150:1] |
Generators of the group modulo torsion |
j |
710090624882/354796875 |
j-invariant |
L |
4.8381788658147 |
L(r)(E,1)/r! |
Ω |
0.72142139072219 |
Real period |
R |
0.37258073883616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3480a2 27840cp2 20880p2 34800c2 |
Quadratic twists by: -4 8 -3 5 |