Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
29280r |
Isogeny class |
Conductor |
29280 |
Conductor |
∏ cp |
8 |
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 |
[-4:10:1] |
Generators of the group modulo torsion |
j |
3484156096/1111725 |
j-invariant |
L |
3.4161349023032 |
L(r)(E,1)/r! |
Ω |
1.4599414893288 |
Real period |
R |
1.1699561000467 |
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 |
29280m1 58560bo2 87840u1 |
Quadratic twists by: -4 8 -3 |