Atkin-Lehner |
2+ 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
8690b |
Isogeny class |
Conductor |
8690 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-10862500 = -1 · 22 · 55 · 11 · 79 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 11+ -5 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-303,2006] |
[a1,a2,a3,a4,a6] |
Generators |
[5:22:1] |
Generators of the group modulo torsion |
j |
-3061889942761/10862500 |
j-invariant |
L |
2.101411915246 |
L(r)(E,1)/r! |
Ω |
2.2863710473713 |
Real period |
R |
0.091910362391181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69520bg1 78210bj1 43450p1 95590r1 |
Quadratic twists by: -4 -3 5 -11 |