Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6960x |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
15122459934720 = 214 · 32 · 5 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -2 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34185280,76943361280] |
[a1,a2,a3,a4,a6] |
Generators |
[2362:96798:1] |
Generators of the group modulo torsion |
j |
1078651622544688278688321/3692006820 |
j-invariant |
L |
4.022178315645 |
L(r)(E,1)/r! |
Ω |
0.33098826937375 |
Real period |
R |
6.0760133935488 |
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 |
870i3 27840dp3 20880by3 34800cy3 |
Quadratic twists by: -4 8 -3 5 |