Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
50568g |
Isogeny class |
Conductor |
50568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-41442647086512 = -1 · 24 · 35 · 78 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-947,310248] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:559:1] |
Generators of the group modulo torsion |
j |
-49948672/22016043 |
j-invariant |
L |
5.1924990760449 |
L(r)(E,1)/r! |
Ω |
0.52224065612359 |
Real period |
R |
2.4856830922429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101136m1 7224f1 |
Quadratic twists by: -4 -7 |