Atkin-Lehner |
3+ 5+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18585a |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
390285 = 33 · 5 · 72 · 59 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ -1 -3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-138,623] |
[a1,a2,a3,a4,a6] |
Generators |
[9:10:1] |
Generators of the group modulo torsion |
j |
10764582912/14455 |
j-invariant |
L |
3.1386026887465 |
L(r)(E,1)/r! |
Ω |
2.9974573123694 |
Real period |
R |
0.26177209228257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18585b1 92925a1 |
Quadratic twists by: -3 5 |