Atkin-Lehner |
2- 3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540ba |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-3208051068750000 = -1 · 24 · 36 · 58 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39132,4037769] |
[a1,a2,a3,a4,a6] |
Generators |
[1488:56925:1] [-192:2115:1] |
Generators of the group modulo torsion |
j |
-568162198831104/275038671875 |
j-invariant |
L |
8.902372559869 |
L(r)(E,1)/r! |
Ω |
0.41799956486577 |
Real period |
R |
0.14789975124882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5060a1 |
Quadratic twists by: -3 |