Atkin-Lehner |
2- 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
83904bl |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-9950322108096 = -1 · 26 · 34 · 193 · 234 |
Discriminant |
Eigenvalues |
2- 3- -3 3 1 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17067,-877221] |
[a1,a2,a3,a4,a6] |
Generators |
[2874:153939:1] |
Generators of the group modulo torsion |
j |
-8590941264282112/155473782939 |
j-invariant |
L |
6.7261561543842 |
L(r)(E,1)/r! |
Ω |
0.20862285101175 |
Real period |
R |
4.030093130881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83904bk1 41952c1 |
Quadratic twists by: -4 8 |