Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
31950cv |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
139749300000000 = 28 · 39 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 1 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13055,81447] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:-660:1] |
Generators of the group modulo torsion |
j |
864043465/490752 |
j-invariant |
L |
9.701772859196 |
L(r)(E,1)/r! |
Ω |
0.50011326930193 |
Real period |
R |
0.20207449022703 |
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 |
10650e1 31950ba1 |
Quadratic twists by: -3 5 |