Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
28908c |
Isogeny class |
Conductor |
28908 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-13087401955474176 = -1 · 28 · 33 · 1110 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 11- -6 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3648,5503428] |
[a1,a2,a3,a4,a6] |
Generators |
[213:-3993:1] |
Generators of the group modulo torsion |
j |
776755740672/1893431995873 |
j-invariant |
L |
6.1178712511834 |
L(r)(E,1)/r! |
Ω |
0.31277946741936 |
Real period |
R |
0.32599493085122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115632k1 28908a1 |
Quadratic twists by: -4 -3 |