Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310bv |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
1986495338739600 = 24 · 37 · 52 · 134 · 433 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34583,-1227873] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:738:1] |
Generators of the group modulo torsion |
j |
6274402927278121/2724959312400 |
j-invariant |
L |
10.4248188877 |
L(r)(E,1)/r! |
Ω |
0.3642337382643 |
Real period |
R |
3.5776541930792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770b1 |
Quadratic twists by: -3 |