Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10230bf |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-715936320000 = -1 · 29 · 38 · 54 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 4 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1270,36900] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-1130:1] |
Generators of the group modulo torsion |
j |
226523624554079/715936320000 |
j-invariant |
L |
7.8459484671982 |
L(r)(E,1)/r! |
Ω |
0.63772897241802 |
Real period |
R |
0.042718580777225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81840ci1 30690k1 51150e1 112530bi1 |
Quadratic twists by: -4 -3 5 -11 |