Atkin-Lehner |
2+ 3+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960c |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
3006720 = 28 · 34 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] |
Generators of the group modulo torsion |
j |
20720464/11745 |
j-invariant |
L |
2.7987771063787 |
L(r)(E,1)/r! |
Ω |
2.0983934395049 |
Real period |
R |
1.3337713765628 |
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 |
3480r1 27840ei1 20880ba1 34800w1 |
Quadratic twists by: -4 8 -3 5 |