Atkin-Lehner |
2- 3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346ca |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
380 |
Product of Tamagawa factors cp |
deg |
18385920 |
Modular degree for the optimal curve |
Δ |
-1.8452729786265E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 1 11- -6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12456913,-11868041545] |
[a1,a2,a3,a4,a6] |
Generators |
[3315:-258266:1] |
Generators of the group modulo torsion |
j |
293242903149156729204311/253123865380860198912 |
j-invariant |
L |
6.7164032005692 |
L(r)(E,1)/r! |
Ω |
0.0557069190278 |
Real period |
R |
0.3172809694866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999934393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34782j1 |
Quadratic twists by: -3 |