Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
53958bc |
Isogeny class |
Conductor |
53958 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-1389168782376 = -1 · 23 · 3 · 17 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 1 4 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,2105,-41947] |
[a1,a2,a3,a4,a6] |
Generators |
[1108:-57:64] |
Generators of the group modulo torsion |
j |
6967871/9384 |
j-invariant |
L |
9.964129384484 |
L(r)(E,1)/r! |
Ω |
0.45521849267282 |
Real period |
R |
3.6481124064059 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000013 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2346h1 |
Quadratic twists by: -23 |