Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
10998u |
Isogeny class |
Conductor |
10998 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-14253408 = -1 · 25 · 36 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 0 0 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,-75] |
[a1,a2,a3,a4,a6] |
Generators |
[5:15:1] |
Generators of the group modulo torsion |
j |
30080231/19552 |
j-invariant |
L |
5.1935463180351 |
L(r)(E,1)/r! |
Ω |
1.2714921425207 |
Real period |
R |
0.4084607481521 |
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 |
87984bu1 1222a1 |
Quadratic twists by: -4 -3 |