Atkin-Lehner |
2- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127832c |
Isogeny class |
Conductor |
127832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-5362769610023638016 = -1 · 210 · 192 · 299 |
Discriminant |
Eigenvalues |
2- -1 -3 0 -5 1 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-599072,-210194276] |
[a1,a2,a3,a4,a6] |
Generators |
[1257:31958:1] [7782:682892:1] |
Generators of the group modulo torsion |
j |
-39036741412/8804429 |
j-invariant |
L |
7.2731645965325 |
L(r)(E,1)/r! |
Ω |
0.084784714841221 |
Real period |
R |
5.3614945578906 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001535 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4408b1 |
Quadratic twists by: 29 |