Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730n |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1646665949500 = -1 · 22 · 53 · 117 · 132 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2418,42464] |
[a1,a2,a3,a4,a6] |
Generators |
[83:866:1] |
Generators of the group modulo torsion |
j |
881974079/929500 |
j-invariant |
L |
4.7015062803522 |
L(r)(E,1)/r! |
Ω |
0.55756912369379 |
Real period |
R |
0.7026791358779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
125840cl1 78650cp1 1430i1 |
Quadratic twists by: -4 5 -11 |