Atkin-Lehner |
3+ 7+ 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
85491a |
Isogeny class |
Conductor |
85491 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
1474996997313 = 39 · 74 · 232 · 59 |
Discriminant |
Eigenvalues |
1 3+ 0 7+ 4 -6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17997,-922960] |
[a1,a2,a3,a4,a6] |
Generators |
[65510:5894285:8] |
Generators of the group modulo torsion |
j |
32752642399875/74937611 |
j-invariant |
L |
5.6167601680359 |
L(r)(E,1)/r! |
Ω |
0.41224756632045 |
Real period |
R |
6.8123630423096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999962057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85491b1 |
Quadratic twists by: -3 |