Atkin-Lehner |
2- 3- 11- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
54384w |
Isogeny class |
Conductor |
54384 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
485164449792 = 217 · 33 · 113 · 103 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 11- -5 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6104,178452] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:480:1] [-36:594:1] |
Generators of the group modulo torsion |
j |
6141556990297/118448352 |
j-invariant |
L |
9.6097203671307 |
L(r)(E,1)/r! |
Ω |
0.9330644533843 |
Real period |
R |
0.28608599962909 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6798c1 |
Quadratic twists by: -4 |