Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520co |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
316281600 = 28 · 32 · 52 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2516,-49416] |
[a1,a2,a3,a4,a6] |
Generators |
[34248:150195:512] |
Generators of the group modulo torsion |
j |
6883166242384/1235475 |
j-invariant |
L |
8.7682147536514 |
L(r)(E,1)/r! |
Ω |
0.67408116085758 |
Real period |
R |
6.5038271820529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380f2 |
Quadratic twists by: -4 |