Atkin-Lehner |
3- 5- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
50325y |
Isogeny class |
Conductor |
50325 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
233280 |
Modular degree for the optimal curve |
Δ |
-3121254791015625 = -1 · 39 · 59 · 113 · 61 |
Discriminant |
Eigenvalues |
-1 3- 5- -1 11+ 2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,24112,-2266983] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1624:1] |
Generators of the group modulo torsion |
j |
793765560979/1598082453 |
j-invariant |
L |
3.7503608678378 |
L(r)(E,1)/r! |
Ω |
0.23412151450689 |
Real period |
R |
0.8899369286266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50325i1 |
Quadratic twists by: 5 |