Atkin-Lehner |
3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787l |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
143568569901141 = 35 · 79 · 114 |
Discriminant |
Eigenvalues |
-2 3+ 3 7- 11- 4 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-13834,249402] |
[a1,a2,a3,a4,a6] |
Generators |
[180:1886:1] |
Generators of the group modulo torsion |
j |
495616/243 |
j-invariant |
L |
2.7000221316689 |
L(r)(E,1)/r! |
Ω |
0.51554619973298 |
Real period |
R |
0.87286782221372 |
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 |
53361bx1 17787bf1 17787j1 |
Quadratic twists by: -3 -7 -11 |