Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880y |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
3763670480 = 24 · 5 · 196 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,2634] |
[a1,a2,a3,a4,a6] |
Generators |
[82:722:1] |
Generators of the group modulo torsion |
j |
16384/5 |
j-invariant |
L |
1.9910444375219 |
L(r)(E,1)/r! |
Ω |
1.2959121918366 |
Real period |
R |
1.5364038166043 |
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 |
7220c1 115520cv1 80b2 |
Quadratic twists by: -4 8 -19 |