Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950ba |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
8943955200 = 28 · 39 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 1 -2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-522,756] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:78:1] |
Generators of the group modulo torsion |
j |
864043465/490752 |
j-invariant |
L |
3.9300526086085 |
L(r)(E,1)/r! |
Ω |
1.1182872666088 |
Real period |
R |
0.87858744482679 |
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 |
10650bd1 31950cv1 |
Quadratic twists by: -3 5 |