Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310q |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
8436627859046400 = 218 · 311 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-101799,-11668995] |
[a1,a2,a3,a4,a6] |
Generators |
[-219:402:1] |
Generators of the group modulo torsion |
j |
160040212374431089/11572877721600 |
j-invariant |
L |
4.6604658177056 |
L(r)(E,1)/r! |
Ω |
0.26849764764645 |
Real period |
R |
2.1696958328131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770ba1 |
Quadratic twists by: -3 |