Atkin-Lehner |
2- 3- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810dn |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1589760 |
Modular degree for the optimal curve |
Δ |
-97305616282644000 = -1 · 25 · 312 · 53 · 7 · 113 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-286178,60878081] |
[a1,a2,a3,a4,a6] |
j |
-3555523011373646041/133478211636000 |
j-invariant |
L |
3.3492200949214 |
L(r)(E,1)/r! |
Ω |
0.33492199889038 |
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 |
39270br1 |
Quadratic twists by: -3 |