Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
26910bk |
Isogeny class |
Conductor |
26910 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
8404992 |
Modular degree for the optimal curve |
Δ |
-1.6934323252362E+25 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-164383772,-834986611681] |
[a1,a2,a3,a4,a6] |
Generators |
[5488791:269950843:343] |
Generators of the group modulo torsion |
j |
-673865164959526180786057849/23229524351662850520000 |
j-invariant |
L |
9.5353853674441 |
L(r)(E,1)/r! |
Ω |
0.021039021817749 |
Real period |
R |
9.4421624514008 |
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 |
8970e1 |
Quadratic twists by: -3 |