Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830bc |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
39000 |
Modular degree for the optimal curve |
Δ |
-245143104480 = -1 · 25 · 313 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 1 6 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-175,23765] |
[a1,a2,a3,a4,a6] |
j |
-616977841/255091680 |
j-invariant |
L |
4.005932032403 |
L(r)(E,1)/r! |
Ω |
0.80118640648069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490q1 28830br1 |
Quadratic twists by: -3 -31 |