Atkin-Lehner |
2- 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
41536q |
Isogeny class |
Conductor |
41536 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
-104232057307136 = -1 · 222 · 112 · 593 |
Discriminant |
Eigenvalues |
2- 1 -3 -5 11+ 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16417,-952481] |
[a1,a2,a3,a4,a6] |
Generators |
[321:5192:1] |
Generators of the group modulo torsion |
j |
-1866773548297/397613744 |
j-invariant |
L |
3.4411312630359 |
L(r)(E,1)/r! |
Ω |
0.2085063638989 |
Real period |
R |
1.3753102458057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41536i1 10384e1 |
Quadratic twists by: -4 8 |