Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50784n |
Isogeny class |
Conductor |
50784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-1961179457472 = -1 · 26 · 32 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2998,24432] |
[a1,a2,a3,a4,a6] |
Generators |
[13584:306820:27] |
Generators of the group modulo torsion |
j |
314432/207 |
j-invariant |
L |
8.7511660443745 |
L(r)(E,1)/r! |
Ω |
0.52007263482349 |
Real period |
R |
4.2067037652122 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50784u1 101568m1 2208e1 |
Quadratic twists by: -4 8 -23 |