Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600db |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-19046845440000000 = -1 · 216 · 312 · 57 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,50367,5032863] |
[a1,a2,a3,a4,a6] |
Generators |
[138:3825:1] |
Generators of the group modulo torsion |
j |
13799183324/18600435 |
j-invariant |
L |
7.6009570828347 |
L(r)(E,1)/r! |
Ω |
0.26050231530306 |
Real period |
R |
2.4315065664553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600es3 4200e4 100800fw3 6720j4 |
Quadratic twists by: -4 8 -3 5 |