Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787bf |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1220312709 = 35 · 73 · 114 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11- -4 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-282,-808] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:16:1] [-12:31:1] |
Generators of the group modulo torsion |
j |
495616/243 |
j-invariant |
L |
3.9183410951828 |
L(r)(E,1)/r! |
Ω |
1.2241586182807 |
Real period |
R |
0.1066948088989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361bv1 17787l1 17787ba1 |
Quadratic twists by: -3 -7 -11 |