Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680er |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-636755116032000 = -1 · 223 · 36 · 53 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128883,17850418] |
[a1,a2,a3,a4,a6] |
Generators |
[201:-256:1] |
Generators of the group modulo torsion |
j |
-79290863149681/213248000 |
j-invariant |
L |
5.5766957713225 |
L(r)(E,1)/r! |
Ω |
0.51435823525424 |
Real period |
R |
1.3552557794884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005158 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10710g1 9520n1 |
Quadratic twists by: -4 -3 |