Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bf |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
14600400 = 24 · 3 · 52 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61,40] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:260:27] |
Generators of the group modulo torsion |
j |
131072/75 |
j-invariant |
L |
6.7257328111068 |
L(r)(E,1)/r! |
Ω |
1.9016778808375 |
Real period |
R |
3.5367361181184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999478452 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31740f1 126960by1 |
Quadratic twists by: -4 -23 |