Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800br |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6789120 |
Modular degree for the optimal curve |
Δ |
-1.3667219625234E+23 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 2 13- 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9056225,-20649639125] |
[a1,a2,a3,a4,a6] |
Generators |
[41449793982994049042556614452045232038742070:331827061295888867600101609865002919449761135725:646760556777922420064545643519051191] |
Generators of the group modulo torsion |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
5.8727552673144 |
L(r)(E,1)/r! |
Ω |
0.041161543947581 |
Real period |
R |
71.337888525189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24700j1 3952c1 |
Quadratic twists by: -4 5 |