Atkin-Lehner |
2- 3+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
33936c |
Isogeny class |
Conductor |
33936 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-10512918872064 = -1 · 215 · 33 · 76 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 2 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9616,398272] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:784:1] |
Generators of the group modulo torsion |
j |
-24010007244049/2566630584 |
j-invariant |
L |
4.5819696575238 |
L(r)(E,1)/r! |
Ω |
0.70307455557166 |
Real period |
R |
0.2715436092572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4242c1 101808y1 |
Quadratic twists by: -4 -3 |