Atkin-Lehner |
2- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29450x |
Isogeny class |
Conductor |
29450 |
Conductor |
∏ cp |
69 |
Product of Tamagawa factors cp |
deg |
910800 |
Modular degree for the optimal curve |
Δ |
-1854763827200000000 = -1 · 223 · 58 · 19 · 313 |
Discriminant |
Eigenvalues |
2- 3 5- -2 2 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,105570,-64206803] |
[a1,a2,a3,a4,a6] |
j |
333111095554095/4748195397632 |
j-invariant |
L |
8.9082905384804 |
L(r)(E,1)/r! |
Ω |
0.12910565997794 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29450i1 |
Quadratic twists by: 5 |