Atkin-Lehner |
2+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960k |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-9.784824035168E+18 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -5 13- 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1147400,496810000] |
[a1,a2,a3,a4,a6] |
Generators |
[3050:159250:1] [600:-4900:1] |
Generators of the group modulo torsion |
j |
-693346671296498/40610171875 |
j-invariant |
L |
8.3112177838471 |
L(r)(E,1)/r! |
Ω |
0.22645474338897 |
Real period |
R |
0.076461357313868 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25480g1 7280c1 |
Quadratic twists by: -4 -7 |