Atkin-Lehner |
2- 3- 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
28764c |
Isogeny class |
Conductor |
28764 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
49894708167936 = 28 · 315 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 3 1 -1 -6 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-158736,24339908] |
[a1,a2,a3,a4,a6] |
Generators |
[172:1458:1] |
Generators of the group modulo torsion |
j |
2370186473832448/267354189 |
j-invariant |
L |
6.9806133766946 |
L(r)(E,1)/r! |
Ω |
0.60898690697082 |
Real period |
R |
0.47761107400877 |
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 |
115056bc1 9588a1 |
Quadratic twists by: -4 -3 |