Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200cf |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-365320854000000000 = -1 · 210 · 37 · 59 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-865875,311481250] |
[a1,a2,a3,a4,a6] |
Generators |
[425:4500:1] |
Generators of the group modulo torsion |
j |
-49241558516/250563 |
j-invariant |
L |
5.9395427430356 |
L(r)(E,1)/r! |
Ω |
0.30360559868917 |
Real period |
R |
1.2227094066797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30600cp1 20400bp1 61200cs1 |
Quadratic twists by: -4 -3 5 |