Atkin-Lehner |
3+ 11+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
26961b |
Isogeny class |
Conductor |
26961 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-296571 = -1 · 3 · 112 · 19 · 43 |
Discriminant |
Eigenvalues |
-2 3+ 1 -2 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,10,20] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-6:1] |
Generators of the group modulo torsion |
j |
99897344/296571 |
j-invariant |
L |
1.6462063919304 |
L(r)(E,1)/r! |
Ω |
2.1643944675986 |
Real period |
R |
0.38029259836282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80883q1 |
Quadratic twists by: -3 |