Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
28560cs |
Isogeny class |
Conductor |
28560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3480207360 = 214 · 3 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5080,141040] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:238:1] |
Generators of the group modulo torsion |
j |
3540302642521/849660 |
j-invariant |
L |
4.6892292577301 |
L(r)(E,1)/r! |
Ω |
1.3718544743282 |
Real period |
R |
1.7090840703153 |
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 |
3570o2 114240ig2 85680eb2 |
Quadratic twists by: -4 8 -3 |