Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966cv |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-486418745683584 = -1 · 27 · 33 · 73 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 5 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,15889,735797] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-1174:1] |
Generators of the group modulo torsion |
j |
53582633/58752 |
j-invariant |
L |
7.9064705228595 |
L(r)(E,1)/r! |
Ω |
0.34821833324649 |
Real period |
R |
0.40545531420337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932472 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84966dq1 4998bp1 |
Quadratic twists by: -7 17 |