Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40950cb |
Isogeny class |
Conductor |
40950 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-576820921950000000 = -1 · 27 · 37 · 58 · 74 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,62883,36017541] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:5553:1] |
Generators of the group modulo torsion |
j |
96567729935/2025598848 |
j-invariant |
L |
4.1055338441612 |
L(r)(E,1)/r! |
Ω |
0.21742142744276 |
Real period |
R |
0.78678496496635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13650da1 40950et1 |
Quadratic twists by: -3 5 |