Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800dl |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-3.1267628313708E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56031908,163643998188] |
[a1,a2,a3,a4,a6] |
Generators |
[2278:218700:1] |
Generators of the group modulo torsion |
j |
-120527903507632/1937102445 |
j-invariant |
L |
7.8400031854055 |
L(r)(E,1)/r! |
Ω |
0.096954847333632 |
Real period |
R |
1.1230891092535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400m2 11760g2 58800bg2 |
Quadratic twists by: -4 5 -7 |