Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360ch |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-1538770023750000 = -1 · 24 · 3 · 57 · 177 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-355566,-81510609] |
[a1,a2,a3,a4,a6] |
j |
-12872772702976/3984375 |
j-invariant |
L |
0.19550653818664 |
L(r)(E,1)/r! |
Ω |
0.097753279630476 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17340l1 4080bd1 |
Quadratic twists by: -4 17 |