Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176bc |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2043010777586688 = 210 · 310 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-231699,-42872258] |
[a1,a2,a3,a4,a6] |
Generators |
[1965210:14956838:3375] |
Generators of the group modulo torsion |
j |
381775972/567 |
j-invariant |
L |
8.3639224912599 |
L(r)(E,1)/r! |
Ω |
0.21762423184111 |
Real period |
R |
9.6082159821787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001577 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392bc4 504f3 |
Quadratic twists by: -3 13 |