Atkin-Lehner |
2- 5- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
104690bh |
Isogeny class |
Conductor |
104690 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
1061786880 |
Modular degree for the optimal curve |
Δ |
-5.5562787961322E+23 |
Discriminant |
Eigenvalues |
2- -2 5- 3 -3 6 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1573018130250,-759361861034937500] |
[a1,a2,a3,a4,a6] |
Generators |
[101430292346454907607296625561982634421070750:90734129666473190595607665012843670920591748000:54423089046530074015026724162543929173] |
Generators of the group modulo torsion |
j |
-70208369512686302439708538201/90625000000 |
j-invariant |
L |
9.6511290333515 |
L(r)(E,1)/r! |
Ω |
0.0021315038771601 |
Real period |
R |
68.603782214499 |
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 |
104690j1 |
Quadratic twists by: -19 |