Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6930bh |
Isogeny class |
Conductor |
6930 |
Conductor |
∏ cp |
2592 |
Product of Tamagawa factors cp |
Δ |
-249064815384000000 = -1 · 29 · 37 · 56 · 76 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14702,24024701] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:2659:1] |
Generators of the group modulo torsion |
j |
-482056280171929/341652696000000 |
j-invariant |
L |
6.4437524575838 |
L(r)(E,1)/r! |
Ω |
0.2521420526978 |
Real period |
R |
0.35494500402974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
55440ei4 2310i4 34650l4 48510cy4 |
Quadratic twists by: -4 -3 5 -7 |