Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bd |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-143572486554000000 = -1 · 27 · 39 · 56 · 76 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16533,-18216059] |
[a1,a2,a3,a4,a6] |
Generators |
[2582635:112558786:1331] |
Generators of the group modulo torsion |
j |
43874924183/12604443264 |
j-invariant |
L |
5.1721582271148 |
L(r)(E,1)/r! |
Ω |
0.15337047160592 |
Real period |
R |
8.4308246847846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910791 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32550bt1 3906w1 |
Quadratic twists by: -3 5 |