Atkin-Lehner |
3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
90387p |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-3852153205362099 = -1 · 39 · 119 · 83 |
Discriminant |
Eigenvalues |
2 3- -1 0 11- 6 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-131043,-18501233] |
[a1,a2,a3,a4,a6] |
Generators |
[13394:533975:8] |
Generators of the group modulo torsion |
j |
-192699928576/2982771 |
j-invariant |
L |
14.048477061764 |
L(r)(E,1)/r! |
Ω |
0.1253477822886 |
Real period |
R |
7.0047495073704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001415 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30129k1 8217m1 |
Quadratic twists by: -3 -11 |