Atkin-Lehner |
2+ 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070q |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1446061713750 = 2 · 36 · 54 · 174 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1140054,468813878] |
[a1,a2,a3,a4,a6] |
Generators |
[617:-296:1] [637:559:1] |
Generators of the group modulo torsion |
j |
224787763392247177569/1983623750 |
j-invariant |
L |
5.871559559494 |
L(r)(E,1)/r! |
Ω |
0.59188287322359 |
Real period |
R |
2.4800344059272 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3230e3 |
Quadratic twists by: -3 |