Atkin-Lehner |
2- 3- 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31950ca |
Isogeny class |
Conductor |
31950 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-2981318400000000 = -1 · 214 · 38 · 58 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20480,-2853853] |
[a1,a2,a3,a4,a6] |
Generators |
[309:-4655:1] |
Generators of the group modulo torsion |
j |
-83396175409/261734400 |
j-invariant |
L |
9.0234426813909 |
L(r)(E,1)/r! |
Ω |
0.18409197744242 |
Real period |
R |
0.87528477483617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10650l1 6390m1 |
Quadratic twists by: -3 5 |