Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925x |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-91068046875 = -1 · 37 · 57 · 13 · 41 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,14656] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-113:1] |
Generators of the group modulo torsion |
j |
-262144/7995 |
j-invariant |
L |
3.8270696595356 |
L(r)(E,1)/r! |
Ω |
0.89539482033021 |
Real period |
R |
0.26713562556972 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999272622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39975f1 23985h1 |
Quadratic twists by: -3 5 |