Atkin-Lehner |
3- 5- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119145n |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
10032000 |
Modular degree for the optimal curve |
Δ |
-3.3072814723597E+20 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 6 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,159480,-874574476] |
[a1,a2,a3,a4,a6] |
Generators |
[5556:414187:1] |
Generators of the group modulo torsion |
j |
15706024141942784/11579711748046875 |
j-invariant |
L |
4.9410056092464 |
L(r)(E,1)/r! |
Ω |
0.079933561366525 |
Real period |
R |
0.6181390455014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000154995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119145h1 |
Quadratic twists by: 13 |