Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1274h |
Isogeny class |
Conductor |
1274 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-2283008 = -1 · 29 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 1 -2 7- -5 13+ -8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2024,34880] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-72:1] |
Generators of the group modulo torsion |
j |
-2673465150439/6656 |
j-invariant |
L |
3.7233165764249 |
L(r)(E,1)/r! |
Ω |
2.2442694746568 |
Real period |
R |
0.092168486560257 |
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 |
10192x1 40768bq1 11466q1 31850z1 |
Quadratic twists by: -4 8 -3 5 |