Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810x |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
5.7184562392256E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2725557,1692151389] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:44271:1] |
Generators of the group modulo torsion |
j |
47595748626367201/1215506250000 |
j-invariant |
L |
3.4792707955389 |
L(r)(E,1)/r! |
Ω |
0.19771179829578 |
Real period |
R |
1.0998555803869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002632 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210e3 |
Quadratic twists by: -19 |