Atkin-Lehner |
3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5355g |
Isogeny class |
Conductor |
5355 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-28814398869375 = -1 · 318 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- -4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2295,254200] |
[a1,a2,a3,a4,a6] |
Generators |
[-210:3455:8] |
Generators of the group modulo torsion |
j |
1833318007919/39525924375 |
j-invariant |
L |
4.3479283856161 |
L(r)(E,1)/r! |
Ω |
0.49659317203611 |
Real period |
R |
4.3777569149702 |
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 |
85680dp3 1785h4 26775bg3 37485bs3 |
Quadratic twists by: -4 -3 5 -7 |