Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
14960f |
Isogeny class |
Conductor |
14960 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-28148153876480 = -1 · 215 · 5 · 112 · 175 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11+ -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1224,254320] |
[a1,a2,a3,a4,a6] |
Generators |
[204:2992:1] |
Generators of the group modulo torsion |
j |
49471280711/6872107880 |
j-invariant |
L |
3.039752536128 |
L(r)(E,1)/r! |
Ω |
0.51170658994351 |
Real period |
R |
0.14851052321134 |
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 |
1870d1 59840bo1 74800z1 |
Quadratic twists by: -4 8 5 |