Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050j |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1078272 |
Modular degree for the optimal curve |
Δ |
144341267034931200 = 218 · 33 · 52 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 3 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-150357,-12979979] |
[a1,a2,a3,a4,a6] |
Generators |
[455:3329:1] |
Generators of the group modulo torsion |
j |
682724835/262144 |
j-invariant |
L |
5.9476681507721 |
L(r)(E,1)/r! |
Ω |
0.25044703837267 |
Real period |
R |
5.9370517888978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003352 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dn2 76050dz1 76050dq1 |
Quadratic twists by: -3 5 13 |