Atkin-Lehner |
2- 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920cu |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-182532268800 = -1 · 28 · 311 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 4 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10128,-392852] |
[a1,a2,a3,a4,a6] |
Generators |
[134:810:1] |
Generators of the group modulo torsion |
j |
-615640662016/978075 |
j-invariant |
L |
4.9046854908633 |
L(r)(E,1)/r! |
Ω |
0.23792894522797 |
Real period |
R |
1.2883797915129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999455625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28980d1 38640cw1 |
Quadratic twists by: -4 -3 |