Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584r |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-420774912 = -1 · 210 · 35 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 4 1 1 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256,1948] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:20:1] |
Generators of the group modulo torsion |
j |
-1819026436/410913 |
j-invariant |
L |
7.3700996189056 |
L(r)(E,1)/r! |
Ω |
1.6031143072326 |
Real period |
R |
2.2986818799067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168bf1 121752j1 |
Quadratic twists by: -4 -3 |