Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138s |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-783385882696926 = -1 · 2 · 33 · 299 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 0 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5204,-1353051] |
[a1,a2,a3,a4,a6] |
j |
-970299/48778 |
j-invariant |
L |
1.7679302400992 |
L(r)(E,1)/r! |
Ω |
0.2209912800124 |
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 |
121104bj1 15138b2 522c1 |
Quadratic twists by: -4 -3 29 |