Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
85680be |
Isogeny class |
Conductor |
85680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1572864 |
Modular degree for the optimal curve |
Δ |
-4447683105468750000 = -1 · 24 · 37 · 516 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1164378,494133127] |
[a1,a2,a3,a4,a6] |
Generators |
[37028:240597:64] |
Generators of the group modulo torsion |
j |
-14967807005098080256/381317138671875 |
j-invariant |
L |
6.8488618079988 |
L(r)(E,1)/r! |
Ω |
0.24473865399871 |
Real period |
R |
6.9960973642451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42840m1 28560ca1 |
Quadratic twists by: -4 -3 |