Atkin-Lehner |
2- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
51376r |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
282240 |
Modular degree for the optimal curve |
Δ |
-544816759787248 = -1 · 24 · 1311 · 19 |
Discriminant |
Eigenvalues |
2- -2 -4 2 0 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,19210,465739] |
[a1,a2,a3,a4,a6] |
Generators |
[511:11999:1] [927:28561:1] |
Generators of the group modulo torsion |
j |
10150866176/7054567 |
j-invariant |
L |
5.6611831229058 |
L(r)(E,1)/r! |
Ω |
0.32841169797078 |
Real period |
R |
4.3095169553057 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12844e1 3952h1 |
Quadratic twists by: -4 13 |