Atkin-Lehner |
2+ 3+ 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20646a |
Isogeny class |
Conductor |
20646 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
11380740184866816 = 228 · 33 · 31 · 373 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-81756,-7369648] |
[a1,a2,a3,a4,a6] |
Generators |
[1066528065064:-6957199622932:3131359847] |
Generators of the group modulo torsion |
j |
2238318277068094299/421508895735808 |
j-invariant |
L |
4.5581383402769 |
L(r)(E,1)/r! |
Ω |
0.28601935971136 |
Real period |
R |
15.936467884121 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20646k1 |
Quadratic twists by: -3 |