Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350bl |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
171694080000000000 = 220 · 36 · 510 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 3 -8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1126055,-459211553] |
[a1,a2,a3,a4,a6] |
Generators |
[-605:878:1] |
Generators of the group modulo torsion |
j |
22180666338225/24117248 |
j-invariant |
L |
7.1256136447467 |
L(r)(E,1)/r! |
Ω |
0.14656762017535 |
Real period |
R |
1.2154140246362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800dz1 1150a1 10350x1 |
Quadratic twists by: -4 -3 5 |