Atkin-Lehner |
3+ 7- 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36519f |
Isogeny class |
Conductor |
36519 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12780246830463 = 32 · 73 · 374 · 472 |
Discriminant |
Eigenvalues |
1 3+ 4 7- -2 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15123,-701190] |
[a1,a2,a3,a4,a6] |
Generators |
[170:1210:1] |
Generators of the group modulo torsion |
j |
382544919790940089/12780246830463 |
j-invariant |
L |
7.6574400269153 |
L(r)(E,1)/r! |
Ω |
0.4313957805223 |
Real period |
R |
1.479198525007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557r2 |
Quadratic twists by: -3 |