Atkin-Lehner |
5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
17545h |
Isogeny class |
Conductor |
17545 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
-109066870447205 = -1 · 5 · 1110 · 292 |
Discriminant |
Eigenvalues |
-1 -1 5+ 1 11- 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14946,-870572] |
[a1,a2,a3,a4,a6] |
Generators |
[208:2148:1] |
Generators of the group modulo torsion |
j |
-14235529/4205 |
j-invariant |
L |
2.3999412055418 |
L(r)(E,1)/r! |
Ω |
0.21265466184477 |
Real period |
R |
5.6428135285688 |
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 |
87725n1 17545c1 |
Quadratic twists by: 5 -11 |