Atkin-Lehner |
2- 3+ 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970bo |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
2405376 |
Modular degree for the optimal curve |
Δ |
12380904000000000 = 212 · 33 · 59 · 31 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3786932,2837419031] |
[a1,a2,a3,a4,a6] |
Generators |
[-609:70429:1] |
Generators of the group modulo torsion |
j |
222444852722513754872643/458552000000000 |
j-invariant |
L |
13.238204561052 |
L(r)(E,1)/r! |
Ω |
0.34448874802211 |
Real period |
R |
3.2023795041139 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006669 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
119970e3 |
Quadratic twists by: -3 |