Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
106128bx |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8257536 |
Modular degree for the optimal curve |
Δ |
9.263715621846E+22 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24815739,-45272173142] |
[a1,a2,a3,a4,a6] |
Generators |
[-1028991935254061727:8400020276972093440:430659653213413] |
Generators of the group modulo torsion |
j |
566001880654007645497/31023996182986752 |
j-invariant |
L |
8.9212396605525 |
L(r)(E,1)/r! |
Ω |
0.067873204009269 |
Real period |
R |
21.906631648655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999846235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13266m1 35376x1 |
Quadratic twists by: -4 -3 |