Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10350ba |
Isogeny class |
Conductor |
10350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-1.5111414E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1570730,-960814103] |
[a1,a2,a3,a4,a6] |
j |
-1015884369980369163/358196480000000 |
j-invariant |
L |
1.8551059462604 |
L(r)(E,1)/r! |
Ω |
0.066253783795015 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800cp1 10350c1 2070c1 |
Quadratic twists by: -4 -3 5 |