Atkin-Lehner |
2+ 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880br |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-8336179200 = -1 · 221 · 3 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- -3 -1 2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,415,-2817] |
[a1,a2,a3,a4,a6] |
j |
30080231/31800 |
j-invariant |
L |
2.835301299648 |
L(r)(E,1)/r! |
Ω |
0.70882532482974 |
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 |
50880cy1 1590b1 |
Quadratic twists by: -4 8 |