Atkin-Lehner |
3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5985l |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
175113219841041825 = 311 · 52 · 78 · 193 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7820033,8419001456] |
[a1,a2,a3,a4,a6] |
Generators |
[-2499:112381:1] |
Generators of the group modulo torsion |
j |
72547406094380206981321/240210178108425 |
j-invariant |
L |
2.5093698036679 |
L(r)(E,1)/r! |
Ω |
0.28056318162185 |
Real period |
R |
2.2360113229773 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760dh1 1995g1 29925n1 41895bw1 |
Quadratic twists by: -4 -3 5 -7 |