Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
85782l |
Isogeny class |
Conductor |
85782 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-152315891712 = -1 · 212 · 32 · 173 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 -3 -1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1157,-10615] |
[a1,a2,a3,a4,a6] |
Generators |
[83:-858:1] |
Generators of the group modulo torsion |
j |
203659340375/181112832 |
j-invariant |
L |
7.0269649550746 |
L(r)(E,1)/r! |
Ω |
0.56446616766768 |
Real period |
R |
0.17290094792572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85782h2 |
Quadratic twists by: 29 |