Atkin-Lehner |
2- 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
68306u |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
6894720 |
Modular degree for the optimal curve |
Δ |
1.6800427345054E+21 |
Discriminant |
Eigenvalues |
2- 0 -1 7+ 4 -6 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-121313548,514321271055] |
[a1,a2,a3,a4,a6] |
Generators |
[6309:3509:1] |
Generators of the group modulo torsion |
j |
34250530470727989276369/291431175942656 |
j-invariant |
L |
8.4588575640369 |
L(r)(E,1)/r! |
Ω |
0.13453606570638 |
Real period |
R |
0.7762256146365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68306v1 |
Quadratic twists by: -7 |