Atkin-Lehner |
2+ 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
51912a |
Isogeny class |
Conductor |
51912 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-224571312 = -1 · 24 · 33 · 72 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54,737] |
[a1,a2,a3,a4,a6] |
Generators |
[16:63:1] |
Generators of the group modulo torsion |
j |
-40310784/519841 |
j-invariant |
L |
7.2834905197592 |
L(r)(E,1)/r! |
Ω |
1.5002663132445 |
Real period |
R |
1.2136996037789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103824e1 51912k1 |
Quadratic twists by: -4 -3 |