Atkin-Lehner |
2- 3+ 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520bn |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7649735556464640000 = 222 · 312 · 54 · 172 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 2 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1763520,-890938368] |
[a1,a2,a3,a4,a6] |
Generators |
[14602:354875:8] |
Generators of the group modulo torsion |
j |
148082991235098828481/1867611219840000 |
j-invariant |
L |
6.5236003229844 |
L(r)(E,1)/r! |
Ω |
0.13110997352384 |
Real period |
R |
6.2195881714988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985122 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690x2 |
Quadratic twists by: -4 |