Atkin-Lehner |
3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
90387q |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-3537330767091 = -1 · 37 · 117 · 83 |
Discriminant |
Eigenvalues |
0 3- -3 2 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,726,90175] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:1085:8] [55:544:1] |
Generators of the group modulo torsion |
j |
32768/2739 |
j-invariant |
L |
8.3724430540967 |
L(r)(E,1)/r! |
Ω |
0.60465223668582 |
Real period |
R |
1.7308385187566 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30129c1 8217e1 |
Quadratic twists by: -3 -11 |