Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
2898l |
Isogeny class |
Conductor |
2898 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-27264384 = -1 · 27 · 33 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 -5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37,-245] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-94:1] |
Generators of the group modulo torsion |
j |
212776173/1009792 |
j-invariant |
L |
4.5699266133288 |
L(r)(E,1)/r! |
Ω |
1.0625626241241 |
Real period |
R |
0.10240128349849 |
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 |
23184y1 92736m1 2898c1 72450f1 |
Quadratic twists by: -4 8 -3 5 |