Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414ck |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-10855079559285696 = -1 · 26 · 310 · 7 · 177 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55976,-7135189] |
[a1,a2,a3,a4,a6] |
Generators |
[3198:45215:8] |
Generators of the group modulo torsion |
j |
-1102302937/616896 |
j-invariant |
L |
7.0858771925395 |
L(r)(E,1)/r! |
Ω |
0.15126527057059 |
Real period |
R |
1.9518352223795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138h1 2142r1 |
Quadratic twists by: -3 17 |