Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bi |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-38477437599744 = -1 · 225 · 36 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 5 11+ 13- -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1869,296818] |
[a1,a2,a3,a4,a6] |
j |
241804367/12886016 |
j-invariant |
L |
3.9402227216415 |
L(r)(E,1)/r! |
Ω |
0.49252784020519 |
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 |
2574p1 82368et1 2288k1 |
Quadratic twists by: -4 8 -3 |