Atkin-Lehner |
2- 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320cm |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
27869184 |
Modular degree for the optimal curve |
Δ |
-8.3111265215447E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1355012880,-19693451643372] |
[a1,a2,a3,a4,a6] |
j |
-67172890180943415009710808721/2029083623424000000000000 |
j-invariant |
L |
2.6826558720961 |
L(r)(E,1)/r! |
Ω |
0.012419703111643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290u1 102960dm1 |
Quadratic twists by: -4 -3 |