Atkin-Lehner |
2+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
29050h |
Isogeny class |
Conductor |
29050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16320 |
Modular degree for the optimal curve |
Δ |
-11159848000 = -1 · 26 · 53 · 75 · 83 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 -2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,538,-1804] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] [19:-132:1] |
Generators of the group modulo torsion |
j |
137627865747/89278784 |
j-invariant |
L |
6.0762106879737 |
L(r)(E,1)/r! |
Ω |
0.73001415336747 |
Real period |
R |
0.41617074545379 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29050o1 |
Quadratic twists by: 5 |