Atkin-Lehner |
2+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
50470f |
Isogeny class |
Conductor |
50470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.4798261332864E+21 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 4 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2937170422,-61270370550444] |
[a1,a2,a3,a4,a6] |
j |
23818966335091571621419550809/46577753600000000 |
j-invariant |
L |
4.1015429508632 |
L(r)(E,1)/r! |
Ω |
0.020507714756969 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7210a2 |
Quadratic twists by: -7 |