Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
33600ho |
Isogeny class |
Conductor |
33600 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-40320000 = -1 · 210 · 32 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1233,16263] |
[a1,a2,a3,a4,a6] |
Generators |
[18:15:1] |
Generators of the group modulo torsion |
j |
-324179200/63 |
j-invariant |
L |
6.4521105866642 |
L(r)(E,1)/r! |
Ω |
1.9814369913454 |
Real period |
R |
0.54271307598526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33600bt1 8400q1 100800px1 33600et1 |
Quadratic twists by: -4 8 -3 5 |