Atkin-Lehner |
2- 3- 5- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850cl |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-1213867012500000 = -1 · 25 · 38 · 58 · 192 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -6 -3 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1915763,1020454017] |
[a1,a2,a3,a4,a6] |
Generators |
[778:-1415:1] [-248:38599:1] |
Generators of the group modulo torsion |
j |
-1990623081426450385/3107499552 |
j-invariant |
L |
19.138478526397 |
L(r)(E,1)/r! |
Ω |
0.41414945747748 |
Real period |
R |
0.19254802604062 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000448 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116850b1 |
Quadratic twists by: 5 |