Atkin-Lehner |
2+ 3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520v |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14894775901440 = 28 · 38 · 5 · 173 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130500,18100908] |
[a1,a2,a3,a4,a6] |
Generators |
[198:252:1] |
Generators of the group modulo torsion |
j |
960104731086792016/58182718365 |
j-invariant |
L |
9.5551710411198 |
L(r)(E,1)/r! |
Ω |
0.66438702676264 |
Real period |
R |
1.7977418757288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003665 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760c2 |
Quadratic twists by: -4 |