Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
2898i |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-484589371392 = -1 · 216 · 38 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1134,-30380] |
[a1,a2,a3,a4,a6] |
j |
221115865823/664731648 |
j-invariant |
L |
1.9113949572567 |
L(r)(E,1)/r! |
Ω |
0.47784873931418 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23184bi1 92736co1 966g1 72450dn1 |
Quadratic twists by: -4 8 -3 5 |