Atkin-Lehner |
2- 7+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296o |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-4.1855733657154E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3838224,-2909710912] |
[a1,a2,a3,a4,a6] |
Generators |
[282852779641283260320882792:14931671633059555368200830976:71663385025836915964407] |
Generators of the group modulo torsion |
j |
-1526703943653102339217/10218684974891008 |
j-invariant |
L |
7.2241620393275 |
L(r)(E,1)/r! |
Ω |
0.053909250384085 |
Real period |
R |
33.501495510508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8162k1 |
Quadratic twists by: -4 |