Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ct |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1707698764800 = -1 · 210 · 34 · 52 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 1 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16073,781503] |
[a1,a2,a3,a4,a6] |
Generators |
[82:-147:1] |
Generators of the group modulo torsion |
j |
-17939139239680/66706983 |
j-invariant |
L |
7.0497096148076 |
L(r)(E,1)/r! |
Ω |
0.84368114834816 |
Real period |
R |
0.29842475902055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600ef1 2100d1 100800er1 33600be1 |
Quadratic twists by: -4 8 -3 5 |