Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376w |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-6886273249648 = -1 · 24 · 137 · 193 |
Discriminant |
Eigenvalues |
2- 2 0 2 0 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3098,143675] |
[a1,a2,a3,a4,a6] |
Generators |
[25:285:1] |
Generators of the group modulo torsion |
j |
-42592000/89167 |
j-invariant |
L |
9.4103060277243 |
L(r)(E,1)/r! |
Ω |
0.66486616919575 |
Real period |
R |
2.3589474252452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999817 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12844c1 3952i1 |
Quadratic twists by: -4 13 |