Atkin-Lehner |
2+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19942a |
Isogeny class |
Conductor |
19942 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39312 |
Modular degree for the optimal curve |
Δ |
16267302038182 = 2 · 1310 · 59 |
Discriminant |
Eigenvalues |
2+ 1 0 0 4 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-14876,669580] |
[a1,a2,a3,a4,a6] |
Generators |
[570:16015:27] |
Generators of the group modulo torsion |
j |
2640625/118 |
j-invariant |
L |
4.6956587352736 |
L(r)(E,1)/r! |
Ω |
0.68865376539196 |
Real period |
R |
6.8186060561232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19942i1 |
Quadratic twists by: 13 |