Atkin-Lehner |
2+ 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266c |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
573265786503168 = 216 · 311 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 11+ 0 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51957,4423477] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:2744:1] [-6:2179:1] |
Generators of the group modulo torsion |
j |
21278111797932625/786372820992 |
j-invariant |
L |
4.6405678388774 |
L(r)(E,1)/r! |
Ω |
0.51338086009071 |
Real period |
R |
2.2598075812848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128bv1 4422k1 |
Quadratic twists by: -4 -3 |