Atkin-Lehner |
3+ 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118575b |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1582785186767578125 = 39 · 516 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -2 -2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1853255,-968718878] |
[a1,a2,a3,a4,a6] |
Generators |
[-791:1745:1] [124095:7928617:27] |
Generators of the group modulo torsion |
j |
2288852020460403/5146484375 |
j-invariant |
L |
6.4834256618183 |
L(r)(E,1)/r! |
Ω |
0.12941197110688 |
Real period |
R |
25.049559196139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118575e2 23715a2 |
Quadratic twists by: -3 5 |