Atkin-Lehner |
2+ 3- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
104904c |
Isogeny class |
Conductor |
104904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-15260421656614896 = -1 · 24 · 38 · 313 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 0 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29733,5606327] |
[a1,a2,a3,a4,a6] |
j |
249225452807936/1308335190039 |
j-invariant |
L |
2.2676314220611 |
L(r)(E,1)/r! |
Ω |
0.28345397652047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34968f1 |
Quadratic twists by: -3 |