Atkin-Lehner |
13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15041b |
Isogeny class |
Conductor |
15041 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35568 |
Modular degree for the optimal curve |
Δ |
-6461403041041 = -1 · 138 · 892 |
Discriminant |
Eigenvalues |
-1 -2 -3 2 -4 13+ 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2792,-135071] |
[a1,a2,a3,a4,a6] |
Generators |
[69:10:1] |
Generators of the group modulo torsion |
j |
-2950753/7921 |
j-invariant |
L |
1.4824204016358 |
L(r)(E,1)/r! |
Ω |
0.30498497203692 |
Real period |
R |
2.4303171263408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15041f1 |
Quadratic twists by: 13 |