Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200fj |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-168339849523200 = -1 · 212 · 39 · 52 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 2 7 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15600,-975760] |
[a1,a2,a3,a4,a6] |
j |
-5624320000/2255067 |
j-invariant |
L |
3.3512637407828 |
L(r)(E,1)/r! |
Ω |
0.20945398368182 |
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 |
3825j1 20400bu1 61200gn1 |
Quadratic twists by: -4 -3 5 |