Atkin-Lehner |
2- 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360ct |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6967296 |
Modular degree for the optimal curve |
Δ |
-8.1904927139589E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12362360,-21663669648] |
[a1,a2,a3,a4,a6] |
Generators |
[9653052926149038070713870713:669724875762216142684191261146:1375769673343055697846749] |
Generators of the group modulo torsion |
j |
-2113364608155289/828431400960 |
j-invariant |
L |
6.6230415983834 |
L(r)(E,1)/r! |
Ω |
0.039491380902544 |
Real period |
R |
41.927133512607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670l1 4080ba1 |
Quadratic twists by: -4 17 |