Atkin-Lehner |
3- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277m |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
1233843981050889 = 312 · 137 · 37 |
Discriminant |
Eigenvalues |
-1 3- -2 2 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28931,862346] |
[a1,a2,a3,a4,a6] |
Generators |
[322:4824:1] |
Generators of the group modulo torsion |
j |
761048497/350649 |
j-invariant |
L |
2.9268535310032 |
L(r)(E,1)/r! |
Ω |
0.43441940441713 |
Real period |
R |
3.3686956675629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18759j1 4329e1 |
Quadratic twists by: -3 13 |