Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64272s |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2248733944184832 = -1 · 220 · 36 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10608,2238912] |
[a1,a2,a3,a4,a6] |
j |
32227258038767/549007310592 |
j-invariant |
L |
2.7492042141211 |
L(r)(E,1)/r! |
Ω |
0.34365052607825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8034j1 |
Quadratic twists by: -4 |