Atkin-Lehner |
3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
11781d |
Isogeny class |
Conductor |
11781 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1394879093255942217 = -1 · 324 · 74 · 112 · 17 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11+ 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1988397,-1080200030] |
[a1,a2,a3,a4,a6] |
Generators |
[88681643085732658:5324598311900675887:21111536258072] |
Generators of the group modulo torsion |
j |
-1192629656009513436625/1913414394041073 |
j-invariant |
L |
5.3356393480458 |
L(r)(E,1)/r! |
Ω |
0.06356265222117 |
Real period |
R |
20.985748555143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3927a2 82467r2 129591s2 |
Quadratic twists by: -3 -7 -11 |