Atkin-Lehner |
2- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960bi |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-498816700928000 = -1 · 212 · 53 · 78 · 132 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ 0 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3773,-1070846] |
[a1,a2,a3,a4,a6] |
Generators |
[343:6370:1] |
Generators of the group modulo torsion |
j |
251559/21125 |
j-invariant |
L |
3.3514124034992 |
L(r)(E,1)/r! |
Ω |
0.24884345382261 |
Real period |
R |
0.37410985724646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999783 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3185e1 50960bg1 |
Quadratic twists by: -4 -7 |