Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010ds |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1899081099027000 = 23 · 34 · 53 · 710 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1756944050,-28345704424500] |
[a1,a2,a3,a4,a6] |
Generators |
[-32210530:16105280:1331] |
Generators of the group modulo torsion |
j |
5098110762442119719364981649/16141923000 |
j-invariant |
L |
16.595934575147 |
L(r)(E,1)/r! |
Ω |
0.023319008019576 |
Real period |
R |
4.9423005231943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000043461 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430v3 |
Quadratic twists by: -7 |