Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784v |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-5.5135087001888E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 -2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1374166,-944835360] |
[a1,a2,a3,a4,a6] |
Generators |
[460577124019442:21164835424057484:283463918009] |
Generators of the group modulo torsion |
j |
30289632400448/58194383823 |
j-invariant |
L |
4.2920750470357 |
L(r)(E,1)/r! |
Ω |
0.085737724801608 |
Real period |
R |
25.030259765779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50784p1 101568bb1 2208h1 |
Quadratic twists by: -4 8 -23 |