Atkin-Lehner |
2- 3+ 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770be |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
184304531250000 = 24 · 33 · 510 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17222,578821] |
[a1,a2,a3,a4,a6] |
Generators |
[11:619:1] |
Generators of the group modulo torsion |
j |
20921222636092323/6826093750000 |
j-invariant |
L |
10.427133480936 |
L(r)(E,1)/r! |
Ω |
0.5246183797751 |
Real period |
R |
0.49689135393177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999791 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49770a2 |
Quadratic twists by: -3 |