Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600he |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-26682793200000000 = -1 · 210 · 34 · 58 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 2 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401833,-98491537] |
[a1,a2,a3,a4,a6] |
Generators |
[1058:25725:1] |
Generators of the group modulo torsion |
j |
-17939139239680/66706983 |
j-invariant |
L |
7.6111860903248 |
L(r)(E,1)/r! |
Ω |
0.094789754925148 |
Real period |
R |
0.95589822222562 |
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 |
33600be1 8400bs1 100800ph1 33600ef1 |
Quadratic twists by: -4 8 -3 5 |