Atkin-Lehner |
3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475l |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-3108234375 = -1 · 32 · 56 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-763,-8608] |
[a1,a2,a3,a4,a6] |
Generators |
[707:18434:1] |
Generators of the group modulo torsion |
j |
-3144219625/198927 |
j-invariant |
L |
4.0048226847361 |
L(r)(E,1)/r! |
Ω |
0.45253186786895 |
Real period |
R |
4.4249068066209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000109 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2139a1 |
Quadratic twists by: 5 |