Atkin-Lehner |
2- 3- 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
53808w |
Isogeny class |
Conductor |
53808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3440142440988672 = 218 · 3 · 192 · 594 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5915784,-5540145420] |
[a1,a2,a3,a4,a6] |
Generators |
[-37932:494:27] [1457640892:-169933696614:103823] |
Generators of the group modulo torsion |
j |
5589857836770882755977/839878525632 |
j-invariant |
L |
10.004409740565 |
L(r)(E,1)/r! |
Ω |
0.096804707123133 |
Real period |
R |
51.673157421154 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6726a3 |
Quadratic twists by: -4 |