Atkin-Lehner |
2- 3- 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
99990bb |
Isogeny class |
Conductor |
99990 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-63274921875000000 = -1 · 26 · 36 · 513 · 11 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23072,12183171] |
[a1,a2,a3,a4,a6] |
Generators |
[-189:3219:1] |
Generators of the group modulo torsion |
j |
-1863091849086649/86796875000000 |
j-invariant |
L |
10.903593695376 |
L(r)(E,1)/r! |
Ω |
0.29001671956719 |
Real period |
R |
0.48200553065033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11110c1 |
Quadratic twists by: -3 |