Atkin-Lehner |
2+ 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43050bc |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
280219338000 = 24 · 35 · 53 · 73 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -6 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8956,324458] |
[a1,a2,a3,a4,a6] |
Generators |
[37:191:1] [-754:4993:8] |
Generators of the group modulo torsion |
j |
635457112062317/2241754704 |
j-invariant |
L |
8.0351333954559 |
L(r)(E,1)/r! |
Ω |
0.98063934912199 |
Real period |
R |
0.27312567060293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150ea1 43050bn1 |
Quadratic twists by: -3 5 |