Atkin-Lehner |
2- 5- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121030bk |
Isogeny class |
Conductor |
121030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-5403647962786149440 = -1 · 26 · 5 · 79 · 132 · 195 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -6 13- 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1948290,-1053485105] |
[a1,a2,a3,a4,a6] |
Generators |
[3695:203609:1] |
Generators of the group modulo torsion |
j |
-20267592799784023/133907433920 |
j-invariant |
L |
7.5351675648779 |
L(r)(E,1)/r! |
Ω |
0.063868205018039 |
Real period |
R |
4.9158312244736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999959374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121030x1 |
Quadratic twists by: -7 |