Atkin-Lehner |
2+ 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280g |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-8538048000 = -1 · 29 · 37 · 53 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 3 2 -3 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-51976,-4543640] |
[a1,a2,a3,a4,a6] |
j |
-30329878326640712/16675875 |
j-invariant |
L |
1.4228550001072 |
L(r)(E,1)/r! |
Ω |
0.15809500001179 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29280o1 58560dv1 87840bw1 |
Quadratic twists by: -4 8 -3 |