Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966bz |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
4030789274481664674 = 2 · 320 · 76 · 173 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1033632,392690260] |
[a1,a2,a3,a4,a6] |
Generators |
[470:3045:1] |
Generators of the group modulo torsion |
j |
211293405175481/6973568802 |
j-invariant |
L |
5.183469683134 |
L(r)(E,1)/r! |
Ω |
0.24580008749951 |
Real period |
R |
1.0544076157689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997706 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1734c4 84966t4 |
Quadratic twists by: -7 17 |