Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
10350s |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-268272000000 = -1 · 210 · 36 · 56 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2292,49616] |
[a1,a2,a3,a4,a6] |
Generators |
[19:103:1] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
3.7966577113206 |
L(r)(E,1)/r! |
Ω |
0.93902379850656 |
Real period |
R |
1.0107991185524 |
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 |
82800dm1 1150e1 414d1 |
Quadratic twists by: -4 -3 5 |