Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050ha |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-26413695000000 = -1 · 26 · 34 · 57 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2813,253617] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1579:1] |
Generators of the group modulo torsion |
j |
-118370771/1270080 |
j-invariant |
L |
12.957280963126 |
L(r)(E,1)/r! |
Ω |
0.56926463011122 |
Real period |
R |
0.23709829807972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000129129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410r1 127050df1 |
Quadratic twists by: 5 -11 |