Atkin-Lehner |
2- 3- 5+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
30210bi |
Isogeny class |
Conductor |
30210 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
256180800 = 26 · 3 · 52 · 19 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-171,-399] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:17:1] |
Generators of the group modulo torsion |
j |
553185473329/256180800 |
j-invariant |
L |
9.7973249252711 |
L(r)(E,1)/r! |
Ω |
1.3801909260627 |
Real period |
R |
1.1830881197019 |
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 |
90630bh1 |
Quadratic twists by: -3 |