Atkin-Lehner |
2+ 3+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
50286g |
Isogeny class |
Conductor |
50286 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
154224 |
Modular degree for the optimal curve |
Δ |
-14565381536808 = -1 · 23 · 32 · 178 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 0 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,5630,-83012] |
[a1,a2,a3,a4,a6] |
Generators |
[37:403:1] |
Generators of the group modulo torsion |
j |
2828375/2088 |
j-invariant |
L |
3.1513137655986 |
L(r)(E,1)/r! |
Ω |
0.39373480733539 |
Real period |
R |
4.0018226823062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50286h1 |
Quadratic twists by: 17 |