Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43320s |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.20672684765E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9781776,-10519378740] |
[a1,a2,a3,a4,a6] |
Generators |
[-131275983525522166:-1172278194146390625:59877429243848] |
Generators of the group modulo torsion |
j |
1074299413481138/125244140625 |
j-invariant |
L |
4.1437553276761 |
L(r)(E,1)/r! |
Ω |
0.086017311984036 |
Real period |
R |
24.086752027558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640r3 129960bi3 2280c4 |
Quadratic twists by: -4 -3 -19 |