Atkin-Lehner |
3- 5+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100485k |
Isogeny class |
Conductor |
100485 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
360544890234375 = 310 · 58 · 72 · 11 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11+ -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-751343,-250482144] |
[a1,a2,a3,a4,a6] |
Generators |
[-4002:2323:8] |
Generators of the group modulo torsion |
j |
64344343726267514281/494574609375 |
j-invariant |
L |
3.5128551614759 |
L(r)(E,1)/r! |
Ω |
0.16215869437954 |
Real period |
R |
5.4157674585472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000116461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33495h4 |
Quadratic twists by: -3 |