Atkin-Lehner |
2+ 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650b |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13685760 |
Modular degree for the optimal curve |
Δ |
-2.2229224875875E+24 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46570442,141817677216] |
[a1,a2,a3,a4,a6] |
Generators |
[-4062350296739:450528892993332:881974079] |
Generators of the group modulo torsion |
j |
-303180038976339/60335112500 |
j-invariant |
L |
5.5941052532807 |
L(r)(E,1)/r! |
Ω |
0.078757995350161 |
Real period |
R |
17.757261431319 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15730r1 78650bq1 |
Quadratic twists by: 5 -11 |