Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960l |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
272484000000 = 28 · 34 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4860,129600] |
[a1,a2,a3,a4,a6] |
Generators |
[0:360:1] |
Generators of the group modulo torsion |
j |
49600026959056/1064390625 |
j-invariant |
L |
3.084071733021 |
L(r)(E,1)/r! |
Ω |
0.97801955644332 |
Real period |
R |
1.0511281745178 |
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 |
3480l2 27840dl2 20880m2 34800bj2 |
Quadratic twists by: -4 8 -3 5 |