Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960ca |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-5325088358400 = -1 · 227 · 3 · 52 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 -1 -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4040,150000] |
[a1,a2,a3,a4,a6] |
j |
-3366353209/2457600 |
j-invariant |
L |
2.8118707826337 |
L(r)(E,1)/r! |
Ω |
0.70296765282101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870t1 126960bj1 |
Quadratic twists by: -4 -23 |