Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
11781f |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-32990710337739 = -1 · 36 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
-2 3- -1 7+ 11- -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3662613,2697954770] |
[a1,a2,a3,a4,a6] |
Generators |
[1072:1886:1] |
Generators of the group modulo torsion |
j |
-7453654902730081529856/45254746691 |
j-invariant |
L |
1.9787237872538 |
L(r)(E,1)/r! |
Ω |
0.44859344206789 |
Real period |
R |
0.36757926771668 |
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 |
1309a1 82467bi1 129591y1 |
Quadratic twists by: -3 -7 -11 |