Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880ba |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-187458490518732800 = -1 · 223 · 52 · 197 |
Discriminant |
Eigenvalues |
2- -3 5+ 5 4 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275443,59412658] |
[a1,a2,a3,a4,a6] |
Generators |
[399:3610:1] |
Generators of the group modulo torsion |
j |
-11993263569/972800 |
j-invariant |
L |
3.9434169283588 |
L(r)(E,1)/r! |
Ω |
0.31287856280531 |
Real period |
R |
1.5754582596686 |
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 |
3610c1 115520cz1 1520g1 |
Quadratic twists by: -4 8 -19 |