Atkin-Lehner |
2- 3- 5- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
80370bw |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
20928251556000000 = 28 · 38 · 56 · 192 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-131522,17021121] |
[a1,a2,a3,a4,a6] |
Generators |
[431:-6561:1] [-339:4919:1] |
Generators of the group modulo torsion |
j |
345134442204421849/28708164000000 |
j-invariant |
L |
15.173361681065 |
L(r)(E,1)/r! |
Ω |
0.37419647612999 |
Real period |
R |
0.84477466213538 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998064 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26790b2 |
Quadratic twists by: -3 |