Atkin-Lehner |
2+ 3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050d |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-2.56095040608E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1232800,-2376576000] |
[a1,a2,a3,a4,a6] |
Generators |
[462804484541:15974384083895:313046839] |
Generators of the group modulo torsion |
j |
21217831465220975/262241321582592 |
j-invariant |
L |
4.4707923570746 |
L(r)(E,1)/r! |
Ω |
0.070899681171319 |
Real period |
R |
15.764500923042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61050cx1 |
Quadratic twists by: 5 |