Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
33600gi |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-66060288000000 = -1 · 226 · 32 · 56 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6433,-440737] |
[a1,a2,a3,a4,a6] |
Generators |
[23492:437775:64] |
Generators of the group modulo torsion |
j |
-7189057/16128 |
j-invariant |
L |
6.6425376509506 |
L(r)(E,1)/r! |
Ω |
0.24934350184984 |
Real period |
R |
6.660026832132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33600ba1 8400bl1 100800lz1 1344m1 |
Quadratic twists by: -4 8 -3 5 |