Atkin-Lehner |
2- 3- 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
33936i |
Isogeny class |
Conductor |
33936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
102622464 = 28 · 34 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -5 -7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117,-81] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:18:1] [-6:21:1] |
Generators of the group modulo torsion |
j |
697827328/400869 |
j-invariant |
L |
8.7985779211372 |
L(r)(E,1)/r! |
Ω |
1.576125946431 |
Real period |
R |
0.34890049321018 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8484a1 101808bb1 |
Quadratic twists by: -4 -3 |