Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880v |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-1892679680000 = -1 · 223 · 54 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2464,-47360] |
[a1,a2,a3,a4,a6] |
Generators |
[18:50:1] |
Generators of the group modulo torsion |
j |
1118413511/1280000 |
j-invariant |
L |
3.1583560574895 |
L(r)(E,1)/r! |
Ω |
0.44841695041548 |
Real period |
R |
1.7608366803279 |
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 |
3610h1 115520ct1 28880p1 |
Quadratic twists by: -4 8 -19 |