Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5928f |
Isogeny class |
Conductor |
5928 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
138720 |
Modular degree for the optimal curve |
Δ |
-8513392169029183488 = -1 · 211 · 317 · 13 · 195 |
Discriminant |
Eigenvalues |
2+ 3- 0 -5 1 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-319608,-156770640] |
[a1,a2,a3,a4,a6] |
j |
-1762982669155531250/4156929770033781 |
j-invariant |
L |
1.5934810435651 |
L(r)(E,1)/r! |
Ω |
0.093734179033243 |
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 |
11856c1 47424w1 17784l1 77064w1 |
Quadratic twists by: -4 8 -3 13 |