Atkin-Lehner |
2+ 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
20178d |
Isogeny class |
Conductor |
20178 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
2107277463356388 = 22 · 39 · 194 · 593 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1037565,-406525487] |
[a1,a2,a3,a4,a6] |
Generators |
[1289:19268:1] |
Generators of the group modulo torsion |
j |
169450306719111660241/2890641239172 |
j-invariant |
L |
5.1992222946974 |
L(r)(E,1)/r! |
Ω |
0.14958779180992 |
Real period |
R |
2.8964163406374 |
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 |
6726d1 |
Quadratic twists by: -3 |