Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600cv |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-10091520000 = -1 · 213 · 33 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 1 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,4788] |
[a1,a2,a3,a4,a6] |
Generators |
[18:120:1] |
Generators of the group modulo torsion |
j |
304175/3942 |
j-invariant |
L |
6.6466226855618 |
L(r)(E,1)/r! |
Ω |
0.9527823603146 |
Real period |
R |
0.19377815493578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950y1 87600be1 |
Quadratic twists by: -4 5 |