Atkin-Lehner |
2+ 3+ 5+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
34170a |
Isogeny class |
Conductor |
34170 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-139960320000 = -1 · 216 · 3 · 54 · 17 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 3 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1162,10068] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-270:1] |
Generators of the group modulo torsion |
j |
173283808729751/139960320000 |
j-invariant |
L |
3.3285021501118 |
L(r)(E,1)/r! |
Ω |
0.66721238215031 |
Real period |
R |
1.2471674084439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102510bb1 |
Quadratic twists by: -3 |