Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bn |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
1334161125000000 = 26 · 36 · 59 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28425,560500] |
[a1,a2,a3,a4,a6] |
Generators |
[240:-2750:1] |
Generators of the group modulo torsion |
j |
3484156096/1830125 |
j-invariant |
L |
7.3789090801296 |
L(r)(E,1)/r! |
Ω |
0.42334825064617 |
Real period |
R |
1.0893674816763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200dk1 8800s1 15840bg1 |
Quadratic twists by: -4 -3 5 |