Atkin-Lehner |
2- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36652q |
Isogeny class |
Conductor |
36652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61632 |
Modular degree for the optimal curve |
Δ |
1457136765392 = 24 · 73 · 11 · 176 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11489,466612] |
[a1,a2,a3,a4,a6] |
j |
30562867462144/265513259 |
j-invariant |
L |
0.85524906608981 |
L(r)(E,1)/r! |
Ω |
0.85524906606291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36652t1 |
Quadratic twists by: -7 |