Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376y |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3998285824 = -1 · 216 · 132 · 192 |
Discriminant |
Eigenvalues |
2- -2 3 0 -6 13+ 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-784,8724] |
[a1,a2,a3,a4,a6] |
Generators |
[20:38:1] |
Generators of the group modulo torsion |
j |
-77086633/5776 |
j-invariant |
L |
4.7181395631281 |
L(r)(E,1)/r! |
Ω |
1.3656318740811 |
Real period |
R |
0.86372829542717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422g1 51376q1 |
Quadratic twists by: -4 13 |