Atkin-Lehner |
2- 3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
103320bd |
Isogeny class |
Conductor |
103320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
49198001771520 = 210 · 314 · 5 · 72 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1928883,1031114558] |
[a1,a2,a3,a4,a6] |
Generators |
[803:56:1] [827:1240:1] |
Generators of the group modulo torsion |
j |
1063197345603798724/65905245 |
j-invariant |
L |
11.256059967516 |
L(r)(E,1)/r! |
Ω |
0.47922177445348 |
Real period |
R |
5.8720516096597 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993439 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34440i4 |
Quadratic twists by: -3 |