Atkin-Lehner |
3- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
90459m |
Isogeny class |
Conductor |
90459 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
231840 |
Modular degree for the optimal curve |
Δ |
1084685457127131 = 36 · 19 · 238 |
Discriminant |
Eigenvalues |
1 3- -1 0 -2 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52470,-4333163] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:595:1] |
Generators of the group modulo torsion |
j |
279841/19 |
j-invariant |
L |
6.809323873556 |
L(r)(E,1)/r! |
Ω |
0.31679036530957 |
Real period |
R |
0.79610117016192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999993969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10051c1 90459p1 |
Quadratic twists by: -3 -23 |