Atkin-Lehner |
2+ 7- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
121618h |
Isogeny class |
Conductor |
121618 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.4255219145283E+19 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8625447,9747945386] |
[a1,a2,a3,a4,a6] |
Generators |
[970:47412:1] |
Generators of the group modulo torsion |
j |
603226250643487994713/121167363473408 |
j-invariant |
L |
3.3839125085639 |
L(r)(E,1)/r! |
Ω |
0.21621082585767 |
Real period |
R |
3.9127463660533 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17374b2 |
Quadratic twists by: -7 |