Atkin-Lehner |
2+ 3- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
23826p |
Isogeny class |
Conductor |
23826 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
741083904 = 28 · 36 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11+ 2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-53873,4808324] |
[a1,a2,a3,a4,a6] |
Generators |
[123:154:1] |
Generators of the group modulo torsion |
j |
47898112923787681/2052864 |
j-invariant |
L |
5.6395459840798 |
L(r)(E,1)/r! |
Ω |
1.1906573294845 |
Real period |
R |
0.39470816136784 |
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 |
71478co1 23826v1 |
Quadratic twists by: -3 -19 |