Atkin-Lehner |
2- 7- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68306v |
Isogeny class |
Conductor |
68306 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
14280127621190144 = 29 · 72 · 173 · 415 |
Discriminant |
Eigenvalues |
2- 0 1 7- 4 6 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2475787,-1498771557] |
[a1,a2,a3,a4,a6] |
j |
34250530470727989276369/291431175942656 |
j-invariant |
L |
5.4160664525915 |
L(r)(E,1)/r! |
Ω |
0.12035703228877 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68306u1 |
Quadratic twists by: -7 |