Atkin-Lehner |
2- 3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19734m |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-23383865099941632 = -1 · 28 · 310 · 113 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,31113,-7034547] |
[a1,a2,a3,a4,a6] |
Generators |
[231:3426:1] |
Generators of the group modulo torsion |
j |
3330799621679677967/23383865099941632 |
j-invariant |
L |
7.8711884956732 |
L(r)(E,1)/r! |
Ω |
0.18914491713914 |
Real period |
R |
1.7339413201279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59202k1 |
Quadratic twists by: -3 |