Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17787be |
Isogeny class |
Conductor |
17787 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
4255656004106661 = 3 · 713 · 114 |
Discriminant |
Eigenvalues |
-2 3- 3 7- 11- 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-73124,-6958066] |
[a1,a2,a3,a4,a6] |
j |
25104437248/2470629 |
j-invariant |
L |
1.7529776354921 |
L(r)(E,1)/r! |
Ω |
0.29216293924869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53361bw1 2541i1 17787z1 |
Quadratic twists by: -3 -7 -11 |