Atkin-Lehner |
3- 7+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42021g |
Isogeny class |
Conductor |
42021 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-710988890787 = -1 · 37 · 75 · 23 · 292 |
Discriminant |
Eigenvalues |
0 3- 4 7+ 5 -4 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2202,8001] |
[a1,a2,a3,a4,a6] |
Generators |
[65:652:1] |
Generators of the group modulo torsion |
j |
1619750518784/975293403 |
j-invariant |
L |
6.6566307785584 |
L(r)(E,1)/r! |
Ω |
0.55399062522608 |
Real period |
R |
1.5019727941768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14007h1 |
Quadratic twists by: -3 |