Atkin-Lehner |
2+ 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
41360a |
Isogeny class |
Conductor |
41360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
661760 = 28 · 5 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-863,9758] |
[a1,a2,a3,a4,a6] |
Generators |
[53:336:1] |
Generators of the group modulo torsion |
j |
277661799504/2585 |
j-invariant |
L |
4.033056080061 |
L(r)(E,1)/r! |
Ω |
2.5924201467702 |
Real period |
R |
3.1114216459728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20680f1 |
Quadratic twists by: -4 |