Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
7832c |
Isogeny class |
Conductor |
7832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1413457205248 = -1 · 211 · 11 · 894 |
Discriminant |
Eigenvalues |
2- 0 -2 -4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2171,-69194] |
[a1,a2,a3,a4,a6] |
Generators |
[414:8366:1] [5754:436456:1] |
Generators of the group modulo torsion |
j |
-552552095394/690164651 |
j-invariant |
L |
4.7032108034145 |
L(r)(E,1)/r! |
Ω |
0.33394953000236 |
Real period |
R |
14.083597612436 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15664a4 62656a3 70488b3 86152a3 |
Quadratic twists by: -4 8 -3 -11 |