Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300x |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-252202713750000 = -1 · 24 · 35 · 57 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 -5 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15742,82113] |
[a1,a2,a3,a4,a6] |
Generators |
[1348:-49725:1] [178:2925:1] |
Generators of the group modulo torsion |
j |
1725582942464/1008810855 |
j-invariant |
L |
11.01547829725 |
L(r)(E,1)/r! |
Ω |
0.33521638639388 |
Real period |
R |
0.091279997242551 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260h1 |
Quadratic twists by: 5 |