Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28158b |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-6853951059591168 = -1 · 216 · 32 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-14086,-4040684] |
[a1,a2,a3,a4,a6] |
j |
-6570725617/145686528 |
j-invariant |
L |
0.36359687162559 |
L(r)(E,1)/r! |
Ω |
0.1817984358129 |
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 |
84474ca1 1482j1 |
Quadratic twists by: -3 -19 |