Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39675bq |
Isogeny class |
Conductor |
39675 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
5543589375 = 36 · 54 · 233 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 -5 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-563,3642] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:79:1] [-154:767:8] |
Generators of the group modulo torsion |
j |
2595575/729 |
j-invariant |
L |
6.5004580328813 |
L(r)(E,1)/r! |
Ω |
1.2611106117448 |
Real period |
R |
0.14318195169362 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119025cf1 39675f1 39675bp1 |
Quadratic twists by: -3 5 -23 |