Atkin-Lehner |
2- 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070v |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
459337250250000 = 24 · 39 · 56 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48008,-3903173] |
[a1,a2,a3,a4,a6] |
Generators |
[-3183:10433:27] |
Generators of the group modulo torsion |
j |
621676971076923/23336750000 |
j-invariant |
L |
8.3371506202536 |
L(r)(E,1)/r! |
Ω |
0.32327649652141 |
Real period |
R |
6.4473838262021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29070e1 |
Quadratic twists by: -3 |