Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
75850j |
Isogeny class |
Conductor |
75850 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
Δ |
-1.628866347008E+21 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 6 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,170662,-1941522969] |
[a1,a2,a3,a4,a6] |
Generators |
[6825:559787:1] |
Generators of the group modulo torsion |
j |
35181473065532711/104247446208512000 |
j-invariant |
L |
8.5233620415409 |
L(r)(E,1)/r! |
Ω |
0.069532288747102 |
Real period |
R |
1.5715558094007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15170b2 |
Quadratic twists by: 5 |