Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787k |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-260419467 = -1 · 3 · 72 · 116 |
Discriminant |
Eigenvalues |
-2 3+ 2 7- 11- 1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-282,2078] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:60:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
2.395453460498 |
L(r)(E,1)/r! |
Ω |
1.7023700019615 |
Real period |
R |
0.7035642832457 |
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 |
53361bt1 17787m1 147c1 |
Quadratic twists by: -3 -7 -11 |