Atkin-Lehner |
2- 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150ch |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
2112 |
Product of Tamagawa factors cp |
Δ |
1.967275539216E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1547963,709782417] |
[a1,a2,a3,a4,a6] |
Generators |
[4582:-301991:1] [-1358:18229:1] |
Generators of the group modulo torsion |
j |
26253392471952340969/1259056345098240 |
j-invariant |
L |
16.442919630244 |
L(r)(E,1)/r! |
Ω |
0.21407748134074 |
Real period |
R |
0.14547019632407 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999673 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430g2 |
Quadratic twists by: 5 |