Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36414da |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
352512 |
Modular degree for the optimal curve |
Δ |
-13455775703697894 = -1 · 2 · 39 · 72 · 178 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -3 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-81986,-10599721] |
[a1,a2,a3,a4,a6] |
Generators |
[4454820:84000029:8000] |
Generators of the group modulo torsion |
j |
-11984473/2646 |
j-invariant |
L |
10.803794490253 |
L(r)(E,1)/r! |
Ω |
0.1394280523195 |
Real period |
R |
9.6858149333309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12138p1 36414co1 |
Quadratic twists by: -3 17 |