Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414bv |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-21415457349216 = -1 · 25 · 39 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6856,40987] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:83:1] [11:337:1] |
Generators of the group modulo torsion |
j |
6266230821/3764768 |
j-invariant |
L |
10.427844708666 |
L(r)(E,1)/r! |
Ω |
0.41681098133108 |
Real period |
R |
1.2509081065193 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36414e1 36414ce2 |
Quadratic twists by: -3 17 |