Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
86112br |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1970390990909952 = 29 · 316 · 132 · 232 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -6 13- 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-958010907,-11413104505090] |
[a1,a2,a3,a4,a6] |
Generators |
[3030388481448994303796777715304514:1192186995512448870103658951965403446:18804070683526211130515210371] |
Generators of the group modulo torsion |
j |
260517908888220429852329672/5279039649 |
j-invariant |
L |
5.884906079222 |
L(r)(E,1)/r! |
Ω |
0.027136694238748 |
Real period |
R |
54.215392147258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000486 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112bk2 28704e2 |
Quadratic twists by: -4 -3 |