Atkin-Lehner |
2- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
50470m |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
182 |
Product of Tamagawa factors cp |
deg |
2568384 |
Modular degree for the optimal curve |
Δ |
-9.5560584076562E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9853297,12802607521] |
[a1,a2,a3,a4,a6] |
Generators |
[-389:128944:1] |
Generators of the group modulo torsion |
j |
-18352028348674370721/1657656250000000 |
j-invariant |
L |
9.0788601121589 |
L(r)(E,1)/r! |
Ω |
0.12650270778613 |
Real period |
R |
0.39433026883721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50470k1 |
Quadratic twists by: -7 |