Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
85680eq |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-4858969314528000 = -1 · 28 · 312 · 53 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15888,-3441188] |
[a1,a2,a3,a4,a6] |
Generators |
[194:882:1] |
Generators of the group modulo torsion |
j |
-2376642789376/26036143875 |
j-invariant |
L |
5.8522112309813 |
L(r)(E,1)/r! |
Ω |
0.18406838830055 |
Real period |
R |
1.5896839453558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999938537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21420k1 28560ea1 |
Quadratic twists by: -4 -3 |