Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hf |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
4.89030696E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10187195408,395753507719188] |
[a1,a2,a3,a4,a6] |
Generators |
[58498:86400:1] |
Generators of the group modulo torsion |
j |
1826870018430810435423307849/7641104625000000000 |
j-invariant |
L |
9.5092864784006 |
L(r)(E,1)/r! |
Ω |
0.046141392647883 |
Real period |
R |
2.1467723832937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11550bk7 18480bn7 |
Quadratic twists by: -4 5 |