Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550dn |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
1.5895373150249E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15089438,-11877653508] |
[a1,a2,a3,a4,a6] |
Generators |
[-1694:94780:1] |
Generators of the group modulo torsion |
j |
24317721634445398638361/10173038816159137800 |
j-invariant |
L |
13.472478575802 |
L(r)(E,1)/r! |
Ω |
0.07950164011115 |
Real period |
R |
0.7845446448268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910f2 |
Quadratic twists by: 5 |