Atkin-Lehner |
2+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290c |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-34105600 = -1 · 28 · 52 · 732 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 0 5 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50,-300] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-90:1] |
Generators of the group modulo torsion |
j |
-2623401/6400 |
j-invariant |
L |
3.3981068133487 |
L(r)(E,1)/r! |
Ω |
0.83620070636802 |
Real period |
R |
1.0159363617696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53290k1 |
Quadratic twists by: 73 |