Atkin-Lehner |
3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18585f |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
539567618625 = 311 · 53 · 7 · 592 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39690,-3033369] |
[a1,a2,a3,a4,a6] |
Generators |
[1984311030:-424442751:8615125] |
Generators of the group modulo torsion |
j |
9485181279534241/740147625 |
j-invariant |
L |
5.2060026646866 |
L(r)(E,1)/r! |
Ω |
0.33824454436074 |
Real period |
R |
15.391239124124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6195h1 92925r1 |
Quadratic twists by: -3 5 |