Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700w |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1478412000000 = -1 · 28 · 37 · 56 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1733,-65337] |
[a1,a2,a3,a4,a6] |
Generators |
[73:450:1] |
Generators of the group modulo torsion |
j |
-851968/2187 |
j-invariant |
L |
7.6782605330526 |
L(r)(E,1)/r! |
Ω |
0.34422288711076 |
Real period |
R |
0.53109695439352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2028b1 50700y1 |
Quadratic twists by: 5 13 |