Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
23688t |
Isogeny class |
Conductor |
23688 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-9287441710848 = -1 · 28 · 38 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-831,146914] |
[a1,a2,a3,a4,a6] |
Generators |
[89:-882:1] [-51:238:1] |
Generators of the group modulo torsion |
j |
-340062928/49765527 |
j-invariant |
L |
7.133247006015 |
L(r)(E,1)/r! |
Ω |
0.59699643986685 |
Real period |
R |
0.49785661254013 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47376m2 7896c2 |
Quadratic twists by: -4 -3 |