Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280m |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
71150400 = 26 · 36 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-126,324] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:30:1] |
Generators of the group modulo torsion |
j |
3484156096/1111725 |
j-invariant |
L |
6.9191575030513 |
L(r)(E,1)/r! |
Ω |
1.798625504171 |
Real period |
R |
0.64115232131476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29280r1 58560n2 87840bu1 |
Quadratic twists by: -4 8 -3 |