Atkin-Lehner |
2+ 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070q |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
118837251562500 = 22 · 36 · 58 · 172 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-71304,7327628] |
[a1,a2,a3,a4,a6] |
Generators |
[-293:1879:1] [142:-296:1] |
Generators of the group modulo torsion |
j |
54997290038077569/163014062500 |
j-invariant |
L |
5.871559559494 |
L(r)(E,1)/r! |
Ω |
0.59188287322359 |
Real period |
R |
0.62000860148179 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3230e2 |
Quadratic twists by: -3 |