Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gy |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
53554294886400 = 212 · 36 · 52 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22041,1201959] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-1320:1] |
Generators of the group modulo torsion |
j |
289119478354624/13074779025 |
j-invariant |
L |
7.566334723612 |
L(r)(E,1)/r! |
Ω |
0.6234282051431 |
Real period |
R |
0.50569407055031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920eb2 36960bm1 |
Quadratic twists by: -4 8 |