Atkin-Lehner |
2- 5- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
73150bt |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
192746844136000 = 26 · 53 · 75 · 11 · 194 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14445,-14443] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-2090:1] |
Generators of the group modulo torsion |
j |
2666478897672309/1541974753088 |
j-invariant |
L |
9.6048197673112 |
L(r)(E,1)/r! |
Ω |
0.47666832485581 |
Real period |
R |
0.33583169063479 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73150s1 |
Quadratic twists by: 5 |