Atkin-Lehner |
2+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
49450f |
Isogeny class |
Conductor |
49450 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
461760 |
Modular degree for the optimal curve |
Δ |
-78249680000000000 = -1 · 213 · 510 · 232 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 -1 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-174701,31147048] |
[a1,a2,a3,a4,a6] |
j |
-60381829567825/8012767232 |
j-invariant |
L |
1.3309184750044 |
L(r)(E,1)/r! |
Ω |
0.33272961868966 |
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 |
49450s1 |
Quadratic twists by: 5 |