Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850di |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3878280000 = -1 · 26 · 36 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-567,-5859] |
[a1,a2,a3,a4,a6] |
Generators |
[78:609:1] |
Generators of the group modulo torsion |
j |
-44289025/8512 |
j-invariant |
L |
4.6132718913476 |
L(r)(E,1)/r! |
Ω |
0.4841135429128 |
Real period |
R |
2.3823294963129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999237 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bj1 59850eq1 |
Quadratic twists by: -3 5 |