Atkin-Lehner |
5+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
24475f |
Isogeny class |
Conductor |
24475 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
141312 |
Modular degree for the optimal curve |
Δ |
161272673890625 = 56 · 114 · 893 |
Discriminant |
Eigenvalues |
-1 -2 5+ 2 11- 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-366163,-85310808] |
[a1,a2,a3,a4,a6] |
Generators |
[-349:219:1] |
Generators of the group modulo torsion |
j |
347477855987736937/10321451129 |
j-invariant |
L |
2.3647991634449 |
L(r)(E,1)/r! |
Ω |
0.19408041318985 |
Real period |
R |
1.0153863221683 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
979b1 |
Quadratic twists by: 5 |