Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680fc |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-2217132262926000 = -1 · 24 · 38 · 53 · 7 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-41592,-3973849] |
[a1,a2,a3,a4,a6] |
Generators |
[1057:33660:1] |
Generators of the group modulo torsion |
j |
-682190417035264/190083355875 |
j-invariant |
L |
7.5334829475449 |
L(r)(E,1)/r! |
Ω |
0.16476966466986 |
Real period |
R |
2.540072114858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956213 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21420z3 28560cc3 |
Quadratic twists by: -4 -3 |