Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998q |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
4480 |
Modular degree for the optimal curve |
Δ |
-171040896 = -1 · 27 · 37 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 1 2 13- -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-392,3147] |
[a1,a2,a3,a4,a6] |
Generators |
[5:33:1] |
Generators of the group modulo torsion |
j |
-9116230969/234624 |
j-invariant |
L |
7.5669303075168 |
L(r)(E,1)/r! |
Ω |
1.8054027359136 |
Real period |
R |
0.1496882139408 |
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 |
87984bm1 3666b1 |
Quadratic twists by: -4 -3 |