Atkin-Lehner |
2- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
4094g |
Isogeny class |
Conductor |
4094 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
8662904 = 23 · 233 · 89 |
Discriminant |
Eigenvalues |
2- -2 -3 2 0 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-52,24] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:12:1] |
Generators of the group modulo torsion |
j |
15568817473/8662904 |
j-invariant |
L |
3.3323671538272 |
L(r)(E,1)/r! |
Ω |
2.0092376971117 |
Real period |
R |
1.6585231098428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32752f1 36846h1 102350b1 94162u1 |
Quadratic twists by: -4 -3 5 -23 |