Atkin-Lehner |
2- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
41236f |
Isogeny class |
Conductor |
41236 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5328 |
Modular degree for the optimal curve |
Δ |
164944 = 24 · 132 · 61 |
Discriminant |
Eigenvalues |
2- -3 1 -2 0 13+ -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52,-143] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:1:1] |
Generators of the group modulo torsion |
j |
5750784/61 |
j-invariant |
L |
3.0956664617367 |
L(r)(E,1)/r! |
Ω |
1.7790042834844 |
Real period |
R |
0.58003728836294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41236g1 |
Quadratic twists by: 13 |