Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414ch |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-176901251184 = -1 · 24 · 38 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -6 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,481,19703] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:136:1] |
Generators of the group modulo torsion |
j |
3442951/49392 |
j-invariant |
L |
9.5517305259223 |
L(r)(E,1)/r! |
Ω |
0.75234096488743 |
Real period |
R |
1.5870016009546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12138i1 36414cw1 |
Quadratic twists by: -3 17 |