Atkin-Lehner |
2+ 7+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
50512a |
Isogeny class |
Conductor |
50512 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
54272 |
Modular degree for the optimal curve |
Δ |
-389909805824 = -1 · 28 · 72 · 11 · 414 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ 11+ -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2689,60619] |
[a1,a2,a3,a4,a6] |
Generators |
[3270:11767:125] |
Generators of the group modulo torsion |
j |
-8402676646912/1523085179 |
j-invariant |
L |
8.228224347527 |
L(r)(E,1)/r! |
Ω |
0.9128866777106 |
Real period |
R |
2.2533531675939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25256c1 |
Quadratic twists by: -4 |