Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2898r |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-74286719909756928 = -1 · 222 · 314 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-132701,-22729755] |
[a1,a2,a3,a4,a6] |
j |
-354499561600764553/101902222098432 |
j-invariant |
L |
2.711210765688 |
L(r)(E,1)/r! |
Ω |
0.12323685298582 |
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 |
23184br1 92736cb1 966c1 72450bi1 |
Quadratic twists by: -4 8 -3 5 |