Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
101400cj |
Isogeny class |
Conductor |
101400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
958464 |
Modular degree for the optimal curve |
Δ |
-127253992476000000 = -1 · 28 · 3 · 56 · 139 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18308,-17183388] |
[a1,a2,a3,a4,a6] |
Generators |
[1092:35550:1] |
Generators of the group modulo torsion |
j |
-16/3 |
j-invariant |
L |
5.485312948866 |
L(r)(E,1)/r! |
Ω |
0.14694838990747 |
Real period |
R |
4.6660199457881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004354 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4056i1 101400p1 |
Quadratic twists by: 5 13 |