Atkin-Lehner |
2+ 3+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39192a |
Isogeny class |
Conductor |
39192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
193730422929408 = 211 · 32 · 236 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 6 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23208,1192428] |
[a1,a2,a3,a4,a6] |
Generators |
[24445:252938:125] |
Generators of the group modulo torsion |
j |
675033957031250/94594933071 |
j-invariant |
L |
4.6700901671192 |
L(r)(E,1)/r! |
Ω |
0.54416952560565 |
Real period |
R |
8.5820501651989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78384j2 117576l2 |
Quadratic twists by: -4 -3 |