Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
105400w |
Isogeny class |
Conductor |
105400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
1054000000000 = 210 · 59 · 17 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- -2 2 -3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32875,2293750] |
[a1,a2,a3,a4,a6] |
Generators |
[59:748:1] [75:500:1] |
Generators of the group modulo torsion |
j |
1964676276/527 |
j-invariant |
L |
6.6800985874729 |
L(r)(E,1)/r! |
Ω |
0.85385359740031 |
Real period |
R |
1.955867670585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001798 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105400l1 |
Quadratic twists by: 5 |