Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336t |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
167040 |
Modular degree for the optimal curve |
Δ |
-3894470185582592 = -1 · 241 · 7 · 11 · 23 |
Discriminant |
Eigenvalues |
2- 3 0 7+ 11+ 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8035,3015266] |
[a1,a2,a3,a4,a6] |
Generators |
[-396942:103913848:59319] |
Generators of the group modulo torsion |
j |
-14006234957625/950798385152 |
j-invariant |
L |
9.2938200550206 |
L(r)(E,1)/r! |
Ω |
0.36403666708537 |
Real period |
R |
12.764950477971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542h1 113344dr1 |
Quadratic twists by: -4 8 |