Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710z |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
68248117927756800 = 210 · 39 · 52 · 115 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2273132,-1318493969] |
[a1,a2,a3,a4,a6] |
j |
65994266756699727867/3467363609600 |
j-invariant |
L |
2.4590919631897 |
L(r)(E,1)/r! |
Ω |
0.12295459815946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28710b1 |
Quadratic twists by: -3 |