Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
21420j |
Isogeny class |
Conductor |
21420 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
225549095259600 = 24 · 39 · 52 · 73 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23448,1178053] |
[a1,a2,a3,a4,a6] |
Generators |
[119:270:1] |
Generators of the group modulo torsion |
j |
122234448510976/19337199525 |
j-invariant |
L |
4.6095257794734 |
L(r)(E,1)/r! |
Ω |
0.53494331866515 |
Real period |
R |
2.1542122401751 |
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 |
85680ee1 7140n1 107100bq1 |
Quadratic twists by: -4 -3 5 |