Atkin-Lehner |
3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106329d |
Isogeny class |
Conductor |
106329 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
248843060367602823 = 35 · 237 · 673 |
Discriminant |
Eigenvalues |
1 3- 0 2 -1 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-182781,18113077] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:4773:1] |
Generators of the group modulo torsion |
j |
4561907001625/1680964407 |
j-invariant |
L |
9.6266944087644 |
L(r)(E,1)/r! |
Ω |
0.28517535947395 |
Real period |
R |
1.6878552213138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4623b1 |
Quadratic twists by: -23 |