Atkin-Lehner |
3- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
2967c |
Isogeny class |
Conductor |
2967 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
594000 |
Modular degree for the optimal curve |
Δ |
-5.8346865354143E+23 |
Discriminant |
Eigenvalues |
1 3- -3 -5 -5 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13458100,-41374282705] |
[a1,a2,a3,a4,a6] |
j |
-269572085631696789200853433/583468653541433962494321 |
j-invariant |
L |
0.81225083849573 |
L(r)(E,1)/r! |
Ω |
0.036920492658897 |
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 |
47472f1 8901e1 74175p1 68241j1 |
Quadratic twists by: -4 -3 5 -23 |