Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880r |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-46539950653440 = -1 · 217 · 32 · 5 · 534 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3935,312865] |
[a1,a2,a3,a4,a6] |
Generators |
[176:2535:1] |
Generators of the group modulo torsion |
j |
51396982702/355071645 |
j-invariant |
L |
5.0467198868521 |
L(r)(E,1)/r! |
Ω |
0.46352125672925 |
Real period |
R |
5.4438926085707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50880ea3 6360d4 |
Quadratic twists by: -4 8 |