Atkin-Lehner |
3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53475m |
Isogeny class |
Conductor |
53475 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
6818199162046875 = 37 · 56 · 235 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ -3 -3 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-69038,5735817] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-2381:1] |
Generators of the group modulo torsion |
j |
2328995685476377/436364746371 |
j-invariant |
L |
3.7659331299222 |
L(r)(E,1)/r! |
Ω |
0.39993497994362 |
Real period |
R |
0.26903895588615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2139b1 |
Quadratic twists by: 5 |