Atkin-Lehner |
2+ 3+ 5+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43050c |
Isogeny class |
Conductor |
43050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
17220000000 = 28 · 3 · 57 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2375,43125] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:225:1] [150:525:8] |
Generators of the group modulo torsion |
j |
94881210481/1102080 |
j-invariant |
L |
5.4054536615374 |
L(r)(E,1)/r! |
Ω |
1.2366646929888 |
Real period |
R |
2.1854968821317 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129150cq1 8610t1 |
Quadratic twists by: -3 5 |