Atkin-Lehner |
2+ 3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
49818h |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-16199873508036096 = -1 · 29 · 34 · 198 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 -3 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,14432,6088430] |
[a1,a2,a3,a4,a6] |
j |
19575719/953856 |
j-invariant |
L |
3.567229799078 |
L(r)(E,1)/r! |
Ω |
0.29726914986989 |
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 |
49818z1 |
Quadratic twists by: -19 |