Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414ca |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-1748200599936 = -1 · 27 · 39 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 5 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55109,4993597] |
[a1,a2,a3,a4,a6] |
Generators |
[145:116:1] |
Generators of the group modulo torsion |
j |
-3253829409099/307328 |
j-invariant |
L |
8.1814187244957 |
L(r)(E,1)/r! |
Ω |
0.80216423256038 |
Real period |
R |
0.18212824382745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414k1 36414bx1 |
Quadratic twists by: -3 17 |