Atkin-Lehner |
7- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
23177d |
Isogeny class |
Conductor |
23177 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
2726750873 = 78 · 11 · 43 |
Discriminant |
Eigenvalues |
1 -2 4 7- 11- 4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-369,-1081] |
[a1,a2,a3,a4,a6] |
Generators |
[-2936:16157:512] |
Generators of the group modulo torsion |
j |
47045881/23177 |
j-invariant |
L |
5.9407388684081 |
L(r)(E,1)/r! |
Ω |
1.1458660256572 |
Real period |
R |
5.1844969092273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3311b1 |
Quadratic twists by: -7 |