Atkin-Lehner |
2- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360l |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1298304 |
Modular degree for the optimal curve |
Δ |
2.5277424118528E+20 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 3 -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2310176,1113422324] |
[a1,a2,a3,a4,a6] |
Generators |
[3850:85169:8] |
Generators of the group modulo torsion |
j |
332888778334342425889/61712461226875000 |
j-invariant |
L |
7.2917479671925 |
L(r)(E,1)/r! |
Ω |
0.16650568912071 |
Real period |
R |
3.1280561239015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999909 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670e1 |
Quadratic twists by: -4 |