Atkin-Lehner |
2- 3+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15138r |
Isogeny class |
Conductor |
15138 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-10864938092481504 = -1 · 25 · 39 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 3 -5 4 -6 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9934,-5002991] |
[a1,a2,a3,a4,a6] |
j |
9261/928 |
j-invariant |
L |
3.8419991886037 |
L(r)(E,1)/r! |
Ω |
0.19209995943018 |
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 |
121104bi1 15138c1 522a1 |
Quadratic twists by: -4 -3 29 |