Atkin-Lehner |
2- 5- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
100430bn |
Isogeny class |
Conductor |
100430 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
2833920 |
Modular degree for the optimal curve |
Δ |
-8335665768570976000 = -1 · 28 · 53 · 1112 · 83 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-832785,-323890775] |
[a1,a2,a3,a4,a6] |
Generators |
[3222:172871:1] |
Generators of the group modulo torsion |
j |
-36055067764835881/4705266016000 |
j-invariant |
L |
9.0267990913464 |
L(r)(E,1)/r! |
Ω |
0.078448782735889 |
Real period |
R |
4.7944227378973 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9130d1 |
Quadratic twists by: -11 |