Atkin-Lehner |
2- 3- 5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
17220h |
Isogeny class |
Conductor |
17220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1446480 = 24 · 32 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:3:1] |
Generators of the group modulo torsion |
j |
1594753024/90405 |
j-invariant |
L |
5.6391585843564 |
L(r)(E,1)/r! |
Ω |
1.7120193155523 |
Real period |
R |
1.0979546264713 |
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 |
68880bi1 51660o1 86100i1 120540r1 |
Quadratic twists by: -4 -3 5 -7 |