Atkin-Lehner |
2+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150l |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
490047851562500 = 22 · 512 · 74 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7- 11- 2 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-259275,50695625] |
[a1,a2,a3,a4,a6] |
Generators |
[200:2525:1] |
Generators of the group modulo torsion |
j |
123363940203646129/31363062500 |
j-invariant |
L |
8.0354420061466 |
L(r)(E,1)/r! |
Ω |
0.51132361391405 |
Real period |
R |
1.9643729009193 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14630o1 |
Quadratic twists by: 5 |