Atkin-Lehner |
2- 3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bi |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
1255737600 = 28 · 33 · 52 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1043,13107] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-42:1] [-13:162:1] |
Generators of the group modulo torsion |
j |
4643254083987/46508800 |
j-invariant |
L |
12.258907422526 |
L(r)(E,1)/r! |
Ω |
1.539162763276 |
Real period |
R |
0.49779122272757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50310b1 |
Quadratic twists by: -3 |