Atkin-Lehner |
2- 3- 5- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050cx |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-163900825989120000 = -1 · 215 · 312 · 54 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ 5 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,49312,-19012608] |
[a1,a2,a3,a4,a6] |
Generators |
[676:17644:1] |
Generators of the group modulo torsion |
j |
21217831465220975/262241321582592 |
j-invariant |
L |
10.37710374332 |
L(r)(E,1)/r! |
Ω |
0.15853650668213 |
Real period |
R |
0.54546341620584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999412 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
61050d1 |
Quadratic twists by: 5 |