Atkin-Lehner |
2- 3+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
90576n |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-556498944 = -1 · 215 · 33 · 17 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 3 0 2 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-411,3402] |
[a1,a2,a3,a4,a6] |
Generators |
[13:16:1] |
Generators of the group modulo torsion |
j |
-69426531/5032 |
j-invariant |
L |
8.8843926590583 |
L(r)(E,1)/r! |
Ω |
1.6106069153387 |
Real period |
R |
0.68952211185207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11322l1 90576r1 |
Quadratic twists by: -4 -3 |